{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fe587bad-0ca1-4d47-9268-fd6302da80bb",
   "metadata": {},
   "source": [
    "# Cooke Triplet with Stock Lenses\n",
    "\n",
    "Hemkumar Srinivas - May 2025\n",
    "\n",
    "### 📘 Overview\n",
    "\n",
    "In this notebook, we design a **Cooke Triplet** — a classic three-element photographic lens known for correcting **spherical**, **chromatic**, and **coma aberrations**. Our goal is to construct a working prototype using **off-the-shelf catalog lenses** from vendors such as **Thorlabs** and **Edmund Optics**.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "683d4e9a-c4f9-4578-9c70-cfa45459fbdd",
   "metadata": {},
   "outputs": [],
   "source": [
    "import optiland.backend as be\n",
    "from optiland import analysis, mtf, optic, psf, wavefront\n",
    "from optiland import optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d190481-b52f-44b3-8ae1-cc4308e7ee1d",
   "metadata": {},
   "source": [
    "### 🔍 Simulating an Object at Infinity\n",
    "\n",
    "To simulate an object located at **infinity**, we set the aperture type to `'EPD'` (Entrance Pupil Diameter). This configuration sends a bundle of **collimated rays** through the optical system, which mimics incoming light from a distant source.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "72f29539-2455-42e2-8b56-486e784cea46",
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = optic.Optic()\n",
    "# add aperture\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e616201c-7834-40c8-adf5-5ceb275cd2a1",
   "metadata": {},
   "source": [
    "### 🔹 First Lens — Best-Form Convex (Thorlabs LBF254-040-A)\n",
    "\n",
    "We begin with a **best-form positive lens** from Thorlabs — model **LBF254-040-A**. This lens is used as the **front element** of the Cooke Triplet to converge the incoming rays.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d1325421-cb70-4fd0-8624-74a97d53e712",
   "metadata": {},
   "outputs": [],
   "source": [
    "# first lens - best form convex lens\n",
    "lens.add_surface(index=0, radius=be.inf, thickness=be.inf)\n",
    "lens.add_surface(index=1, radius=24.02, thickness=6.5, material=\"N-BK7\")\n",
    "lens.add_surface(index=2, radius=-134.6, thickness=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73ba1135-9244-4dfd-bab1-49f0d8330e7d",
   "metadata": {},
   "source": [
    "### 🔹 Second Lens — Bi-Concave (Edmund Optics #45-929)\n",
    "\n",
    "The middle element of the Cooke Triplet is a **negative (bi-concave) lens**. We'll use Edmund Optics lens **#45-929**, made of N-SF11 flint glass.\n",
    "\n",
    "Since the optical stop is typically located within or near the second lens in this design, we’ll place the **stop on the second surface** of this lens.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "56d22993-e14e-4cf2-bf2f-22e511ddb5ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "lens.add_surface(index=3, radius=-31.82, thickness=2, material=\"N-SF11\")\n",
    "lens.add_surface(index=4, radius=31.82, thickness=10, is_stop=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef1cc9ca-24a1-4468-bb9e-6ccb64e1be2d",
   "metadata": {},
   "source": [
    "### 🔹 Third Lens — Best-Form Convex (Again Thorlabs LBF254-040-A)\n",
    "\n",
    "To complete the triplet, we reuse the same **best-form convex lens** (Thorlabs LBF254-040-A) as the **rear positive element**. This symmetric placement helps correct off-axis aberrations.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b6bfe883-b3b9-42d4-973f-dc656f2a4739",
   "metadata": {},
   "outputs": [],
   "source": [
    "lens.add_surface(index=5, radius=134.6, thickness=6.5, material=\"N-BK7\")\n",
    "lens.add_surface(index=6, radius=-24.02, thickness=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "7ca2f8d8-afc8-4bc5-9b43-cd022dff8c4f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# define surface for the image plane\n",
    "lens.add_surface(index=7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b0ddd55-e058-4a4c-b82c-7892cbb6db3e",
   "metadata": {},
   "source": [
    "Now, let's define the fields and wavelengths over which we would like to analyse the system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "afb09a13-cd3d-45e9-8236-fab2754fa3cf",
   "metadata": {},
   "outputs": [],
   "source": [
    "# add field\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "lens.add_field(y=5)\n",
    "lens.add_field(y=10)\n",
    "\n",
    "# add wavelength\n",
    "lens.add_wavelength(value=0.48)\n",
    "lens.add_wavelength(value=0.55, is_primary=True)\n",
    "lens.add_wavelength(value=0.65)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9cc7916-0961-4b2a-9110-84ba91c75c31",
   "metadata": {},
   "source": [
    "Let's see how the raytrace looks like."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "09373f6d-a1f3-4ab5-89a7-2a904a1e1812",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8504b96d-1c21-454b-ba90-56430881d429",
   "metadata": {},
   "source": [
    "Looks like we are not far away from the optimal configuratuion. We will now use the optimizer to find the best distances between the lenses. So, we define the optimization problem and the operands as follows. The system will be optimized at 550 nm wavelength."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "611460b5-19f1-45f0-8b3f-cd8bf39cdf99",
   "metadata": {},
   "outputs": [],
   "source": [
    "problem = optimization.OptimizationProblem()\n",
    "\n",
    "input_data = {\n",
    "    \"optic\": lens,\n",
    "    \"surface_number\": -1,\n",
    "    \"Hx\": 0,\n",
    "    \"Hy\": 0,\n",
    "    \"num_rays\": 5,\n",
    "    \"wavelength\": 0.55,\n",
    "    \"distribution\": \"hexapolar\",\n",
    "}\n",
    "\n",
    "# add RMS spot size operand\n",
    "problem.add_operand(\n",
    "    operand_type=\"rms_spot_size\",\n",
    "    target=0,\n",
    "    weight=1,\n",
    "    input_data=input_data,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "48229e12-ce29-4950-8571-6b9def8b825d",
   "metadata": {},
   "outputs": [],
   "source": [
    "problem.add_variable(lens, \"thickness\", surface_number=2)\n",
    "problem.add_variable(lens, \"thickness\", surface_number=4)\n",
    "problem.add_variable(lens, \"thickness\", surface_number=6)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6f847c3-6077-45d7-957c-0589e2cdac60",
   "metadata": {},
   "source": [
    "Define optimizer and run"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "48ef7e0e-fb16-4a10-a13a-bdd89d8bb705",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  message: CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL\n",
       "  success: True\n",
       "   status: 0\n",
       "      fun: 0.00029382874404814514\n",
       "        x: [ 2.836e-01  1.297e-02  4.061e+00]\n",
       "      nit: 2\n",
       "      jac: [ 2.051e-05  5.413e-05 -4.469e-05]\n",
       "     nfev: 16\n",
       "     njev: 4\n",
       " hess_inv: <3x3 LbfgsInvHessProduct with dtype=float64>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "optimizer = optimization.OptimizerGeneric(problem)\n",
    "optimizer.optimize()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f353e256-4689-4c98-95ed-42b531b2d7b9",
   "metadata": {},
   "source": [
    "Display results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "dbba5c61-59a8-4287-8c94-5fb87d895d64",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒════╤════════════════════════╤═══════════════════╕\n",
      "│    │   Merit Function Value │   Improvement (%) │\n",
      "╞════╪════════════════════════╪═══════════════════╡\n",
      "│  0 │            0.000293829 │           99.9225 │\n",
      "╘════╧════════════════════════╧═══════════════════╛\n",
      "╒════╤════════════════╤══════════╤══════════════╤══════════════╤══════════╤═════════╤═════════╤════════════════╕\n",
      "│    │ Operand Type   │   Target │ Min. Bound   │ Max. Bound   │   Weight │   Value │   Delta │   Contrib. [%] │\n",
      "╞════╪════════════════╪══════════╪══════════════╪══════════════╪══════════╪═════════╪═════════╪════════════════╡\n",
      "│  0 │ rms spot size  │        0 │              │              │        1 │   0.017 │   0.017 │            100 │\n",
      "╘════╧════════════════╧══════════╧══════════════╧══════════════╧══════════╧═════════╧═════════╧════════════════╛\n",
      "╒════╤═════════════════╤═══════════╤═════════╤══════════════╤══════════════╕\n",
      "│    │ Variable Type   │   Surface │   Value │ Min. Bound   │ Max. Bound   │\n",
      "╞════╪═════════════════╪═══════════╪═════════╪══════════════╪══════════════╡\n",
      "│  0 │ thickness       │         2 │ 12.8359 │              │              │\n",
      "│  1 │ thickness       │         4 │ 10.1297 │              │              │\n",
      "│  2 │ thickness       │         6 │ 50.6111 │              │              │\n",
      "╘════╧═════════════════╧═══════════╧═════════╧══════════════╧══════════════╛\n"
     ]
    }
   ],
   "source": [
    "problem.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "130922dc-cd37-4450-8af1-64bbfa568b02",
   "metadata": {},
   "source": [
    "Draw the final lens"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "cceb78c2-2e0c-4eba-86f6-99e9a9d2511d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7462d38e-5812-49ec-9dd6-ab1d91fd86bf",
   "metadata": {},
   "source": [
    "Now, having optimized the distances between the lenses, we can look at the performance of the system : "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b307be5e-dfda-403b-b23e-8189af9671f6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spot = analysis.SpotDiagram(lens)\n",
    "spot.view()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "64bf1492-d74f-4a05-a77d-61c0896f5af2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "distortion = analysis.Distortion(lens)\n",
    "distortion.view()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "2a21df54-9432-4536-ba03-1edbb45e7d57",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "grid = analysis.GridDistortion(lens)\n",
    "grid.view()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "55faecec-cb77-46d0-9ee3-ce22ead4bd42",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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m3kZLItr7cYevY6YiIiIiIiIiItWTAlBluDoDatPJTQz8z0CmbJ5iW8mrDnj4AWY4f7DsTm/rY3k/sAqAQZ0aApCaWY5gl4iIiIiIiIjITUYBqDJc/RS8PFMehy4e4ljmMdtKBsNvWVDnynEOVKswwGDJmMpOZ0yI5Wl4P564yLnMcmz5ExERERERERG5iSgAVYart+D5uvkCkJGTUbRi3dss76nlOAfKqw48HQcvJIG7Lw1qetC+oS9mM6zbd7YSZi0iIiIiIiIiUn0oAFWGq7fg+RotAaj0nPSiFevYcRA5QIM7wfm3hxDeFVgLgPnry7GFT0RERERERETkJnJTBKDef/99AgMDcXd3p3PnzmzevLnU+kuWLOGOO+7A09OT+vXr89RTT3H+/PkKjX11BlQNtxoAZORmYDabbSvWDbK8p5ZjC97VzGYwmej2vwDU6YvZnM3QWVAiIiIiIiIicuuo9gGoZcuWMX78eF5++WV2797Nvffey4MPPsjx48eLrb9lyxaGDx/OyJEj2bNnD//+97/ZuXMno0aNqtD4xWVAFZgLuJx32bZi4Ra880lQkF++zuPegnkdIGk9vdrUw8XJAMDHm/Q0PBERERERERG5dVT7AFRUVBQjR45k1KhRtGnThnnz5tG4cWM++OCDYut///33NGvWjOeee47AwEDuuecennnmGXbt2lWh8a8OQLm7uOPm5AZYsqBs1GgErp5gyoO0I+XrPOM0pB+Hg6twcnLi9gaWDKtVe5IrNFcRERERERERkerIpewqjpObm8sPP/zASy+9ZFPeu3dvtm3bVmyb7t278/LLL/Ptt9/y4IMPkpKSwldffcVDDz1U4jg5OTnk5PwWaMrI+C24lJ2fTUFBAQaDJTsp0DeQPFMe2fnZmEwmm34MdVphOPMTppT9UKtF2TfYqjdOPy7GfCAWc/hb/KFzI346mc7JtCtkZOXi7V6t/3gqnclkwmw2F1lXqVpad8fR2juG1t0xtO6OoXV3HK29Y2jd+V3fu4hUb9U6wpGamkpBQQH+/v425f7+/iQnF58l1L17d5YsWcKQIUPIzs4mPz+fRx55hPfee6/Ecd58801ee+21Yq+ZMXM29SxuzpbMpw+7f2i5kA8XLlywqevt0wz3Mz9x5fhurtQLLvsGa3agtrMbhovHuZi0g14tWvAKYAY+Wr+Pp+5uWHYftxCTyURmZiZmsxknp2qfnHfL0Lo7jtbeMbTujqF1dwytu+No7R1D6w6ZmZmOnoKISLGqdQCqUGH2USGz2VykrNDevXt57rnnmDp1KuHh4Zw5c4YXXniBMWPG8I9//KPYNpMnT2bChAnWzxkZGTRu3Nj62bOGJzWMNcqeaMN2cOA/eF4+gUetWuW4s1rQ7F5IWodvynZoeRfN63qRdO4yqw9c5K9925ejj1uHyWTCYDDg5+f3u/0PBkfQujuO1t4xtO6OoXV3DK2742jtHUPrDi4uN8WveCLyO1St/3aqU6cOzs7ORbKdUlJSimRFFXrzzTfp0aMHL7zwAgAdOnTAy8uLe++9l9dff5369esXaWM0GjEajUXKnQyWf7Ryzbnl+wesXhsADKkHMJT3H7zb+kDSOpwOroZ7xvPInQ14Z81BTl+8gsFgKDHQdqsyGAw4OTn9bv+DwVG07o6jtXcMrbtjaN0dQ+vuOFp7x/i9r/vv9b5FpPqr1n87ubm50blzZ9asWWNTvmbNGrp3715sm6ysrCJ/6To7OwOWzCl7GJ0sQamc/N/Oh/rk508YsGIAy/YvK9qgTmvLe+pBKO/e69t6W96Pfw9X0hh9T3M8XJ24nFvAntMZpbcVEREREREREbkJVOsAFMCECRNYuHAhn376Kfv27eP555/n+PHjjBkzBrBsnxs+fLi1fr9+/Vi+fDkffPABhw8fZuvWrTz33HN069aNBg0a2DW20dkSgMouyLaWXci+QFJ6Eqcvny7aoFYgOLlA3mXIOFW+QfyaQcsw6DoS8nPwNLpwb6u6AKzbl2LXfEVEREREREREqqNqvQUPYMiQIZw/f57p06dz5swZ2rVrx7fffkvTpk0BOHPmDMePH7fWj4yMJDMzkwULFvDXv/6VmjVrcv/99zNr1iy7x3Z3cSfTnElOwW8ZUL5GXwDSc9KLNnB2tTz9LjXR8qrZuGid4jzxlc3HB9rUY/Xes6z8+TTjerWye94iIiIiIiIiItVJtQ9AAYwdO5axY8cWe23RokVFyp599lmeffbZ6x7XzdkN8iE7/7cMqBpulsPIM3JL2B5X9zZL8OncAWjZq0Lj3hVoOcD8YMol9p5Jp2193wr1IyIiIiIiIiJSHVT7LXiOVLgFr7gMqIycEgJQ1nOgEu0brCAPjm6BtGM0q+ONh6vl3KroLUft60dEREREREREpJpRAKoU7i7ugL0ZUEGW93N2BqBWjIVFD0HClwDc0dgS6Np44Jx9/YiIiIiIiIiIVDMKQJXCzckNsD2EvNQzoADq/i8DKmUf2PPUveYhlveDqwEY0qWJpZvMHDKz8+yYtYiIiIiIiIhI9aIAVCmK24JX01iTuh51qeNRp/hGdW4DgzNkX4TM5PIPVnhe1OndcOkc/e+sj5PBUvRZ/LEKzF5EREREREREpHpQAKoUhQGoq7fgNanRhPWPrWfJQ0uKb+TqDrVbWL5O2VP+wXwCIKADYIakdTg5ORFYxwuA//50uiLTFxERERERERGpFhSAKkXhGVBXZ0CVS722lveze+1r16q35f1/2/D6tKtv+ZhyCZPJZF9fIiIiIiIiIiLVhAJQpXBzLnoGVLkUBqBS9tnXrjAAdWgdFOTzVI+mOBmgwGTmUMol+/oSEREREREREakmFIAqhbvz/zKg8m0zoP4a91cGrBjA3vMlZDj5Fwag7NiCB9CoC7jXtJwfdeoH6ni706Ol5aypTQdT7etLRERERERERKSaUACqFNYzoK7JgDqReYKk9CTOXzlffMPCDKhziWAqKP+ATs7wyHx4Og4adQUg5La6AGw8cM6uuYuIiIiIiIiIVBcKQJXCugUv3zYAVcOtBgAZuRnFN/RrBi4ekJ8NF47YN2jb/tCgIzhZ/mjuaWXJgNp6KJW0y7n29SUiIiIiIiIiUg0oAFUK6xa8aw4hr2G0BKDSc9KLb+jkDPWCLF/buw3vGrfV88bJACYzfP79sevqS0RERERERETEERSAKoWbiyUDqkgA6n8ZUOm5JQSgoOJPwgM4vBFWjIU9MTg5OdGsthcAq35Ntr8vEREREREREREHUwCqFIUZUEW24P0vAyojp4QteHDVk/AqEIA6tg0SlsCeGADub1MPgAMpmfb3JSIiIiIiIiLiYApAlcLoZDmE/NoMKF83X6CUM6DgqifhVSAA1aq35T0pDgryeLJ7MwDyCszsOnrB/v5ERERERERERBxIAahSGF2KfwpebY/a1PWoi4eLR8mNCzOgLhyGvCv2DdygI3jWhpx0OLGDxn6eeBmdAfji++P29SUiIiIiIiIi4mAKQJXC6Py/ANQ1W/AGtBzA+sfW87e7/1ZyY29/8KgFZhOcS7RvYCcnaNnL8vXB1QDc0agmAPFJqfb1JSIiIiIiIiLiYApAlaIwAHXtFrxyMRjA/3bL19ezDe/QWgAGdmwIwLlLOeTmF9jfn4iIiIiIiIiIgygAVQrrFrxrMqDKrV4by3tFAlAt7geDE5z9FdJP0f/OhtRwd8Fkhp9OlvL0PRERERERERGRakYBqFKUdAj5hewLDP9uOH/47x8wm80ld1B4DtTZCgSgPGtBwy5Qtw1knsHNxYnQ1pan4W1MPGd/fyIiIiIiIiIiDqIAVClK2oLn5uTG7pTd7L+wv8gB5TauZwsewPD/wJ+/h0ZdALjvtroAxCWmVKw/EREREREREREHUACqFO4u7oBlC97VmU5erl44GyxPpcvIySi5g7pBlvfMM3C5AoeHu3nafOzevBYAv57O4MDZTPv7ExERERERERFxABdHT6A6c3V2BcCMmXxTvvWzwWCghlsN0nLSSM9Nx9/Lv/gO3GtA7VZw/iCc+hFu612xieRdgbwrNPCrhbuLE9n5Jj7bdpTXB7avWH8iIiIiIiLVmMlkIjc319HTEJEyuLm54eRUvtwmBaBKUbgFDyDXlGsNQAH4Gn1Jy0krPQMKLNvnzh+EU7sqFoCK/zusmwHdRkHv1wmqX4OEExfZdEDnQImIiIiIyK0nNzeXI0eOYDKZHD0VESmDk5MTgYGBuLm5lVlXAahSuDr9FnDKKcjBy9XL+rmGWw0A0nPLeCJdw87w0z/h5K6KTaJGA8i/AgfXQO/X6dehPgknLnLi4hXy8024uGgXpYiIiIiI3BrMZjNnzpzB2dmZxo0blzuzQkRuPJPJxOnTpzlz5gxNmjTBYDCUWl8BqFI4GZxwdXIlz5RHboFt+mcNoyUAVWYGVMPOlvdTP4DZDGX8gRTRvCcYnOHcfkg7xpCuTZjxf/swm2HlL2cY0LGhff2JiIiIiIhUU/n5+WRlZdGgQQM8PT3LbiAiDlW3bl1Onz5Nfn4+rq6updZVOLkMJT0Jr65HXep61C27A/924GyE7ItwPsn+CXjUhMZ3Wb4+tAZvdxfqeFvm9PWPJ+3vT0REREREpJoqKCgAKNd2HhFxvMKf1cKf3dIoAFUGN2fLYl4bgJreYzrrH1vPwFYDS+/AxQ3q32H5+tQPFZtEqzDL+8G1AAS3sDwNL+HExYr1JyIiIiIiUo2VtZVHRKoHe35WFYAqQ2EGVF5BXsU7adTF8n6qgudAFQagjmyEvGyGdWsKwOWcfDKzr2NeIiIiIiIiIiI3gAJQZSgpA8ouhedAVfQgcv924FMf8rLg2FbublGbwDpemMwQn3S+4vMSERERERERkd+NRYsWUbNmTbvaNGvWjHnz5l332ApAlaGkANSOMzt48rsneS3+tbI7KQxAJf8Cedn2T8JggOC/QNgMqBsEwH2t6gCw6eA5+/sTERERERGRShMZGcmAAQOKlMfFxWEwGLh48WKljpeWlkZERAS+vr74+voSERFR5hhms5lp06bRoEEDPDw8CA0NZc+ePXaNe/ToUQwGAwkJCUWuhYaGMn78eLv6K8vXX39N27ZtMRqNtG3blpiYmDLb/PLLL4SEhODh4UHDhg2ZPn06ZrO53GMaDIZSX5GRkddxRzdWcYGjIUOGcODAAYfMRwGoMhidLFvwrn0KXlZ+Fj+m/Mj+8/vL7sSvGXjWBlMenP21YhPp/hfo8Rz4Wp56d08rywHoa/acrVh/IiIiIiIiclMaOnQoCQkJxMbGEhsbS0JCAhEREaW2mT17NlFRUSxYsICdO3cSEBBAWFgYmZmZN2jW9omPj2fIkCFERETw008/ERERwWOPPcb27dtLbJORkUFYWBgNGjRg586dvPfee8yZM4eoqKhyj3vmzBnra968edSoUcOm7N13362M23MYDw8P6tWr55CxFYAqQ0kZUL5GXwDSc9PL7sRggIb/OweqotvwrtG+UQ0Azmbm8MOxC5XSp4iIiIiIiFSdESNG0KFDB3JyLL9f5uXl0blzZ4YNG1buPvbt20dsbCwLFy4kODiY4OBgPvnkE1auXEliYmKxbcxmM/PmzePll19m0KBBtGvXjsWLF5OVlcWXX35ZKfd2tenTp9O+ffsi5Z07d2bq1Knl6mPevHmEhYUxefJkgoKCmDx5Mg888ECpW8GWLFlCdnY2ixYtol27dgwaNIgpU6YQFRVV7iyogIAA68vX1xeDwWD97OrqypgxY2jUqBGenp60b9+ef/7znzbtQ0NDee6555g0aRK1atUiICCAadOm2dTZv38/99xzD+7u7rRt25a1a9diMBhYsWKFtc6pU6cYMmQIfn5+1K5dm/79+3P06FHr9cKsuzlz5lC/fn1q167Nn//8Z/Ly8qzzOHbsGM8//7w1ewuKbsFLSkqif//++Pv74+3tTdeuXVm7dm251speCkCVofAQ8lyTbQZUDTdLACgjN6N8HV3vQeQAWRcg4Z9wYDUBNTzwcnMGYOmOExXvU0REREREpJoym81k5eY75GXPtq3ymj9/PpcvX+all14C4JVXXiE1NZX333/fWic0NLTUbV7x8fH4+vpy1113WcvuvvtufH192bZtW7Ftjhw5QnJyMr1797aWGY1GQkJCSmxzPUaMGMHevXvZuXOnteznn39m9+7dREZGWrcmXh1QuVZ8fLzNfAHCw8NLnW98fDwhISEYjUabNqdPny51rPLKzs6mc+fOrFy5kl9//ZWnn36aiIiIIllZixcvxsvLi+3btzN79mymT5/OmjVrADCZTAwYMABPT0+2b9/Oxx9/zMsvv2zTPisri549e+Lt7c2mTZvYsmUL3t7e9OnTh9zc32ITGzZsICkpiQ0bNrB48WIWLVrEokWLAFi+fDmNGjVi+vTp1uyt4ly6dIm+ffuydu1adu/eTXh4OP369eP48ePXvV7Xcqn0Hm8xhRlQ127BKwxAZeZmYjKbcDKUEcu73oPIARK+hNUvQ+B9cFtvbm9Qgx1H09img8hFREREROQWdCWvgLZTVzlk7L3Tw/F0K/+vzCtXrsTb29umrKCgwOazt7c3X3zxBSEhIfj4+DB37lzWrVuHr6+vtU6TJk2oX79+ieMkJycXu4WqXr16JCcnl9gGwN/f36bc39+fY8eOlX5jxejevTtOTra/A1+5coU777wTgEaNGhEeHk50dDRdu3YFIDo6mpCQEJo3b05qaiqtW7fG1dW1xDGSk5OLnW9J91jYplmzZkXaFF4LDAws7y0Wq2HDhkycONH6+dlnnyU2NpZ///vfNgHBDh068OqrrwLQqlUrFixYwLp16wgLC2P16tUkJSURFxdHQEAAAG+88QZhYWHW9kuXLsXJyYmFCxdaM5eio6OpWbMmcXFx1sCcn58fCxYswNnZmaCgIB566CHWrVvH6NGjqVWrFs7Ozvj4+FjHKc4dd9zBHXfcYf38+uuvExMTwzfffMNf/vKX61qvaykAVYaStuDVMFoCUCaziUt5l6wBqRI17GR5TztiyWTyrGX/ZFo/aAlAHdsGVy7yYPv67Diaxun0K5hMpiJ/AYiIiIiIiMiN0bNnTz744AObsu3bt/PEE0/YlAUHBzNx4kRmzJjBiy++yH333Wdz/bPPPitzrMKgxNXMZnOx5aW1K0+b4ixbtow2bdrYlF27jXD06NGMGDGCqKgonJ2dWbJkCXPnzgWgW7du7N9f9nnKFZlvcW2KK6+IgoIC3nrrLZYtW8apU6fIyckhJycHLy8vm3odOnSw+Vy/fn1SUlIASExMpHHjxjZBoW7dutnU/+GHHzh06BA+Pj425dnZ2SQlJVk/33777Tg7O9uM88svv9h1T5cvX+a1115j5cqVnD59mvz8fK5cuaIMKEewbsG7JgPK6GzE3dmd7IJsMnIyyg5AefhB7VZw/qAlgNTmYfsnU7sF1LkNUg/AobX8ofMAXvvvXsxmWLX3LA+2KzlKLiIiIiIicrPxcHVm7/Rwh41tDy8vL1q2bGlTdvLkySL1TCYTW7duxdnZmYMHD9o9r4CAAM6eLfowqnPnzhXJGLq6DViygK7OrkpJSSmxTWkaN25c5F49PDxsPvfr1w+j0UhMTAxGo5GcnBwGDx5c7jECAgKKZDuVNd+S2kDR7K+KmDt3Lu+88w7z5s2jffv2eHl5MX78eJttcUCRzC6DwYDJZALKF0QzmUx07tyZJUuWFLlWt27dco1TXi+88AKrVq1izpw5tGzZEg8PDx599NEi91QZlDJThpICUAD1POtRz6Me2fnZ5eusxf2W94PXkULa+kHL+4FYvN1dqOVlydBa/kPRv9hERERERERuZgaDAU83F4e8KiNjpjhvv/02+/btY+PGjaxatYro6Gi72gcHB5Oens6OHTusZdu3byc9PZ3u3bsX2yYwMJCAgADrOUQAubm5bNy4scQ218vFxYUnn3yS6OhooqOjefzxx/H09Cx3++DgYJv5AqxevbrU+QYHB7Np0yab4Mnq1atp0KBBka15FbF582b69+/PE088wR133EHz5s3tDiIGBQVx/PhxmyDi1WdlAXTq1ImDBw9Sr149WrZsafO6ertmWdzc3IpsAy3uniIjIxk4cCDt27cnICCgUs7LKo4CUGVwdbJEFK/dggfwf4P+j3WPraOlX8si14p12/8i9wdWg51RSavWfS3vB1dDQR6dmtQE4IfjFyvWn4iIiIiIiNwQCQkJTJ06lX/84x/06NGDd999l3HjxnH48GFrneHDhzN58uQS+2jTpg19+vRh9OjRfP/993z//feMHj2ahx9+mNatW1vrBQUFERMTA1gCeePHj2fmzJnExMTw66+/EhkZiaenJ0OHDq2y+x01ahTr16/nu+++Y8SIEdbyHTt2EBQUxKlTp0psO27cOFavXs2sWbPYv38/s2bNYu3atYwfP95aZ8GCBTzwwAPWz0OHDsVoNBIZGcmvv/5KTEwMM2fOZMKECZUSUGzZsiVr1qxh27Zt7Nu3j2eeeabUM6mKExYWRosWLXjyySf5+eef2bp1q/UQ8sI5Dhs2jDp16tC/f382b97MkSNH2LhxI+PGjSs2q64kzZo1Y9OmTZw6dYrU1NQS72n58uUkJCTw008/MXToULuzqMpLAagylJYBZbdm94CrF1xKhuSfKtZHo67gWRuy0+H49wy7qykAWbn55OZXzTeJiIiIiIiIXJ/s7GyGDRtGZGQk/fr1A2DkyJH06tWLiIgIa6bK8ePHS3xiWaElS5bQvn17evfuTe/evenQoQOff/65TZ3ExETS09OtnydNmsT48eMZO3YsXbp04dSpU6xevdrmnKHIyEhCQ0Mr6Y4tB3B3796d1q1b2xzSnZWVRWJiInl5eSW27d69O0uXLiU6OpoOHTqwaNEili1bZtNPamqqzZlIvr6+rFmzhpMnT9KlSxfGjh3LhAkTmDBhgrXO0aNHMRgMxMXF2X0/r7zyCp06dSI8PJzQ0FACAgIYMGCAXX04OzuzYsUKLl26RNeuXRk1ahR/+9vfAHB3dwfA09OTTZs20aRJEwYNGkSbNm0YMWIEV65coUaNMo7/ucr06dM5evQoLVq0sNm6d7V33nkHPz8/unfvTr9+/QgPD6dTp0523VN5GcxV8WzJm1xGRga+vr6kpaXx2eHP+OSXTxgaNJTJd5UchS63pcNg/0oInQyhL1Wsj5g/wU//hPA3MN01lm4z15J6KZd/PRNMt8AKHG5eTZhMJi5cuECtWrV0oPoNpHV3HK29Y2jdHUPr7hhad8fR2juG1v2332XS09Pt+kW1usjOzubIkSMEBgZafxmXGyc0NJTQ0FCmTZtWKf2ZzWaCgoJ45plnbIJAjhQXF8fAgQM5fPgwfn5+jp4OAFu3buWee+7h0KFDtGjRwtHTsYs9P7O/z7+V7VCYAVXcFrwl+5Yw/LvhfHXgq/J3eNUZThUW+iL8NRGC/4yTk4HgFnUA2HKo+JQ6ERERERERkdJkZmaSlJTExIkTK6W/lJQUoqKiOHXqFE899VSl9FkZYmNjmTJlikODTzExMaxZs4ajR4+ydu1ann76aXr06HHTBZ/spafglaEwAJVnKpoaeObSGXan7OaOuneUv8NWvS3vp3dDZjL4BJRevzh+zWw+dmzsy39/Os2ynceZEHab/f2JiIiIiIjI75qPjw8nTpyotP78/f2pU6cOH3/8cbXJNAJ46623HD0FMjMzmTRpEidOnKBOnTr06tWLuXPnOnpaVU4BqDK4Opd8CHkNoyWlNSM3o/wdeteDhp3h1A+Wg8Q7Db++CZoK6NCoJgBnM3I4c/EK9Wt6lN5GREREREREpArptJ+SDR8+nOHDrzMWcBPSFrwylLYFz9fN8vjD9Jz0ItdKdVsfy/uBVRWf2Nm9sLgfLHqILs1q4eJkOS1/yfbjFe9TRERERERERKQKKABVhtKeglehDCiA28It70kbIC+7YhPz8IMjm+B4PGScJrCOFwDr9p+tWH8iIiIiIiIiIlVEAagyuDm7AZWcARXQAXzqQ95lOLqlYhOrUR8adbV8vf//CG1teaRiUsrlivUnIiIiIiIiIlJFFIAqg/UQ8oKih5BXOAPKYPjtaXi7P6v45Nr0s7zvX8kTdzcFILfAxK+n7AyIiYiIiIiIiIhUIQWgyuDmVHIGVA23Grg7u+Pu7G5/x11HW973/RcuHK7Y5IIetrwf2UxTjxw8XJ0B+HL7sYr1JyIiIiIiIiJSBRSAKkNpW/Aa+zRm5xM7+e/A/9rfsX9baBkGZhPE/71ik6vdAuq1BXMBHFhFUH0fAH46qQwoEREREREREak+FIAqQ2mHkBsMhuvrvMdzlvfdS+Dy+Yr1UbgNb99/GXNfCwBSL+XokZciIiIiIiIi1di0adO48847q6x/g8HAihUrqqx/eykAVYbSMqCuW7N7of6dkH8Fdn5SsT7aPAIte0GbhwlpXRejixNnM3JIOnepUqcqIiIiIiIixYuMjGTAgAFFyuPi4jAYDFy8eLFSx0tLSyMiIgJfX198fX2JiIgocwyz2cy0adNo0KABHh4ehIaGsmfPHrvGPXr0KAaDgYSEhCLXQkNDGT9+vF39leXrr7+mbdu2GI1G2rZtS0xMTJltfvnlF0JCQvDw8KBhw4ZMnz7d7gSNlJQUnnnmGZo0aYLRaCQgIIDw8HDi4+MreivFmjhxIuvWrbN+Lu77qLQ1v9ncFAGo999/n8DAQNzd3encuTObN28utX5OTg4vv/wyTZs2xWg00qJFCz799NMKjW3NgDIVzYACeC3+NYZ/N5x95/fZ37nB8FsW1I6PITfL/j4C2sETX8OdQ3F3daZrs1oAbEw8Z39fIiIiIiIiUu0NHTqUhIQEYmNjiY2NJSEhgYiIiFLbzJ49m6ioKBYsWMDOnTsJCAggLCyMzMzMGzRr+8THxzNkyBAiIiL46aefiIiI4LHHHmP79u0ltsnIyCAsLIwGDRqwc+dO3nvvPebMmUNUVJRdYw8ePJiffvqJxYsXc+DAAb755htCQ0O5cOHC9d6WDW9vb2rXrl2pfVZn1xWAys3N5eTJkxw/ftzmVZmWLVvG+PHjefnll9m9ezf33nsvDz74YKnjPPbYY6xbt45//OMfJCYm8s9//pOgoKAKjV+YAVXcFjyAvef3sjtlNylZKRXqnzb9oWYTyDoPCUsq1sdVGvpZDkT/cGMFDzYXERERERGRKjFixAg6dOhATo5lh01eXh6dO3dm2LBh5e5j3759xMbGsnDhQoKDgwkODuaTTz5h5cqVJCYmFtvGbDYzb948Xn75ZQYNGkS7du1YvHgxWVlZfPnll5Vyb1ebPn067du3L1LeuXNnpk6dWq4+5s2bR1hYGJMnTyYoKIjJkyfzwAMPMG/evBLbLFmyhOzsbBYtWkS7du0YNGgQU6ZMISoqqtxZUBcvXmTLli3MmjWLnj170rRpU7p168bkyZN56KGHrPWioqJo3749Xl5eNG7cmLFjx3Lpku1OpE8++YTGjRvj6enJwIEDiYqKombNmtbrV2/BmzZtGosXL+Y///kPBoMBg8FAXFwcgYGBAHTs2BGDwUBoaCgAO3fuJCwsjDp16uDr60tISAg//vhjue7RUSoUgDp48CD33nsvHh4eNG3alMDAQAIDA2nWrJl1cSpLVFQUI0eOZNSoUbRp04Z58+bRuHFjPvjgg2Lrx8bGsnHjRr799lt69epFs2bN6NatG927d6/Q+FdvwSvuG7aGWw0AMnIzKtQ/zi4Q/Kzl6/WvQ/qpivWTcRq+/5C7G3sBcO5SDtm5+RXrS0REREREpBrJys0v8ZWdV1DpdavK/PnzuXz5Mi+99BIAr7zyCqmpqbz//vvWOqGhoURGRpbYR3x8PL6+vtx1113WsrvvvhtfX1+2bdtWbJsjR46QnJxM7969rWVGo5GQkJAS21yPESNGsHfvXnbu3Gkt+/nnn9m9ezeRkZHWrYlHjx4tsY/4+Hib+QKEh4eXOt/4+HhCQkIwGo02bU6fPl3qWFfz9vbG29ubFStWWAOFxXFycmL+/Pn8+uuvLF68mPXr1zNp0iTr9a1btzJmzBjGjRtHQkICYWFhvPHGGyX2N3HiRB577DH69OnDmTNnOHPmDN27d2fHjh0ArF27ljNnzrB8+XIAMjMzefLJJ9m8eTPff/89rVq1om/fvtU2ow3ApSKNIiMjcXFxYeXKldSvX//6D+MuQW5uLj/88IP1h7NQ7969S/ym++abb+jSpQuzZ8/m888/x8vLi0ceeYQZM2bg4eFh9xwKt+AB5JnyrAGpQr5GX+A6AlAAXZ6Cn/4Jp3+EFX+CiBXgZEds0GyGf4RD+nEe/sMXPP+/uGJMwmn+2K1JxeclIiIiIiJSDbSduqrEaz1b1yX6qW7Wz51nrOXKNYGmQncF1mLZM8HWz/fM2sCFy0V3uxx966EiZWVZuXIl3t7eNmUFBbbz8Pb25osvviAkJAQfHx/mzp3LunXr8PX1tdZp0qQJ9evXL3Gc5ORk6tWrV6S8Xr16JCcnl9gGwN/f36bc39+fY8eOlX5jxejevTtO1/zOeuXKFWs2T6NGjQgPDyc6OpquXbsCEB0dTUhICM2bNyc1NZXWrVvj6upa4hjJycnFzrekeyxs06xZsyJtCq+VJ2HGxcWFRYsWMXr0aD788EM6depESEgIjz/+OB06dLDWu/q8q8DAQGbMmMGf/vQnazDxvffe48EHH2TixIkA3HbbbWzbto2VK1cWO663tzceHh7k5OQQEBBgLa9bty4AtWvXtim///77bdp/9NFH+Pn5sXHjRh5++OEy79MRKhSASkhI4IcffqjwtrbySk1NpaCgwK5vusOHD7Nlyxbc3d2JiYkhNTWVsWPHcuHChRLPgcrJybGJbGZkWIJJJpMJd4O7tfxK3hVcDLZL5uPqA8DF7IuYTCb7bxLA4AwDPsTwcQiGIxsxff8B3P0n+7po0w/D93/HZV8M9XyGkpKZw8qfTjOkS6OKzckBTCYTZrO54usoFaJ1dxytvWNo3R1D6+4YWnfH0do7htad3/W9O1rPnj2L7NTZvn07TzzxhE1ZcHAwEydOZMaMGbz44ovcd999Ntc/++yzMscqLgnEbDaXmRxy7fXytCnOsmXLaNOmjU3ZtdsIR48ezYgRI4iKisLZ2ZklS5Ywd+5cALp168b+/fvLHKci8y2uTXHlpRk8eDAPPfQQmzdvJj4+ntjYWGbPns3ChQut2WkbNmxg5syZ7N27l4yMDPLz88nOzuby5ct4eXmRmJjIwIEDbfrt1q1biQEoe6WkpDB16lTWr1/P2bNnKSgoICsrq9KPRapMFQpAtW3bltTU1MqeS4ns+aYzmUwYDAaWLFlijSJHRUXx6KOP8ve//73YLKg333yT1157rUh5WlqaTcQ65XwKecY8mzpuJktGVEpGyvUdSOZUG/cek/HeOBXDumlcrH0nBbVbl7u5S6P7qcnfIfE7uvhH8G0m/HzyYqUfklaVTCYTmZmZmM3mItF0qTpad8fR2juG1t0xtO6OoXV3HK29Y2jdqdbbb67H3unhJV5zuuZ3wx9e6VXuulte7Hl9E7uKl5cXLVu2tCk7efJkkXomk4mtW7fi7OzMwYMH7R4nICCAs2fPFik/d+5ckeSNq9uAJQvo6uyqlJSUEtuUpnHjxkXu9drftfv164fRaCQmJgaj0UhOTg6DBw8u9xgBAQFFEk/Kmm9JbaBo9ldZ3N3dCQsLIywsjKlTpzJq1CheffVVIiMjOXbsGH379mXMmDHMmDGDWrVqsWXLFkaOHEleniVmUFzcwt6n8ZUmMjKSc+fOMW/ePOsD2IKDg8nNLf786uqgQgGoWbNmMWnSJGbOnEn79u2LpM3VqFGjUiZXp04dnJ2d7fqmq1+/Pg0bNrRJYWzTpg1ms5mTJ0/SqlWrIm0mT57MhAkTrJ8zMjJo3Lgxfn5+1KxZEzcnN3JNuXjW8KSWVy2btgG+lh/kHEMOtWrZXrPbfX/BfGozhkNrqLnur5ifigVjOdfSrydm38YY0k/wp8bH+PZQXTJzCnBy96amp1vZ7auBwuChn5/f7/Y/GBxB6+44WnvH0Lo7htbdMbTujqO1dwytu2X70K3I063891VVdSvL22+/zb59+9i4caN1m9pTTz1V7vbBwcGkp6ezY8cOunWzbD3cvn076enpJZ59HBgYSEBAAGvWrKFjx46A5cibjRs3MmvWrOu/qWK4uLjw5JNPEh0djdFo5PHHH8fT07Pc7YODg1mzZg3PP/+8tWz16tWlnu8cHBzMlClTyM3Nxc3NzdqmQYMGRbbm2att27asWLECgF27dpGfn8/cuXOtf9f861//sqkfFBRkPb+p0K5du0odw83Nrci2zcL7uLZ88+bNvP/++/Tt2xeAEydO3NBEoYqo0E9br16WiPIDDzxgU14Y4bt2YSrKzc2Nzp07s2bNGpvUtTVr1tC/f/9i2/To0YN///vfXLp0ybr/9sCBAzg5OdGoUfHb0YxGo80hZYWcnJxwcnLC6Gwk15RLnimvyD9kvu6+uDu742Rwqpx/5Aa8Dx/egyFlH4avR8Ifl1kOKi+P2wfCtvm0S9+Ak+ExTGb41w+nGBPS4vrndYMYDAbrusuNo3V3HK29Y2jdHUPr7hhad8fR2jvG733df6/3fbNISEhg6tSpfPXVV/To0YN3332XcePGWc9GAhg+fDgNGzbkzTffLLaPNm3a0KdPH0aPHs1HH30EwNNPP83DDz9M69a/7aIJCgrizTffZODAgRgMBsaPH8/MmTNp1aoVrVq1YubMmXh6ejJ06NAqu9/Ch4mB5VDuQjt27GD48OGsW7eOhg0bFtt23Lhx3HfffcyaNYv+/fvzn//8h7Vr17JlyxZrnQULFhATE8O6desAGDp0KK+99hqRkZFMmTKFgwcPMnPmTKZOnVruLXjnz5/nD3/4g/WJhT4+PuzatYvZs2db4xAtWrQgPz+f9957j379+rF161Y+/PBDm36effZZ7rvvPqKioujXrx/r16/nu+++K3UezZo1Y9WqVSQmJlK7dm18fX2pV68eHh4exMbG0qhRI9zd3fH19aVly5Z8/vnndOnShYyMDF544YUKnXt9I1Xob6cNGzawYcMG1q9fb/MqLKtMEyZMYOHChXz66afs27eP559/nuPHjzNmzBjAkr00fPhwa/2hQ4dSu3ZtnnrqKfbu3cumTZt44YUXGDFiRIX/MK5+Et61BrYcyM4ndjLz3pkV6rsI73rwx6Xg4gGH1kLsi5ZDxsuj3SAADAdWcXsdZwAOpVwqrYWIiIiIiIjcANnZ2QwbNozIyEj69esHwMiRI+nVqxcRERHWRI7jx49z5syZUvtasmQJ7du3p3fv3vTu3ZsOHTrw+eef29RJTEwkPT3d+nnSpEmMHz+esWPH0qVLF06dOsXq1avx8fGx1omMjCQ0NLSS7hhatWpF9+7dad26tc1T+7KyskhMTLRuVytO9+7dWbp0KdHR0XTo0IFFixaxbNkym35SU1NJSkqyfvb19WXNmjWcPHmSLl26MHbsWCZMmGCz4+no0aMYDAbi4uKKHdfb25u77rqLd955h/vuu4927drxyiuvMHr0aBYsWADAnXfeSVRUFLNmzaJdu3YsWbKkSMCwR48efPjhh0RFRXHHHXcQGxvL888/j7u7e3HDApZzs1q3bk2XLl2oW7cuW7duxcXFhfnz5/PRRx/RoEEDaxDs008/JS0tjY4dOxIREcFzzz1X7OH01YnBXJmbEKvI+++/z+zZszlz5gzt2rWzfiOA5Qfk6NGjNt88+/fv59lnn2Xr1q3Url2bxx57jNdff73cAaiMjAx8fX1JS0ujZs2ahH8VzunLp/my75e0r9u+Km6xqH0rYdkTgBnC34TgsWW3MZth/p2QcZq4uz4hcr0rdzTy5T9/uaeqZ1spTCYTFy5coFatWvo/NzeQ1t1xtPaOoXV3DK27Y2jdHUdr7xha999+l0lPT6+0o1FupOzsbI4cOUJgYGCpv6hL1QgNDSU0NJRp06ZVSn9ms5mgoCCeeeYZmyCQI8XFxTFw4EAOHz6Mn5/fDR179OjR7N+/n82bN9/QcauSPT+zFd7wevHiRf7xj3+wb98+DAYDbdu2ZcSIETZnL1WWsWPHMnZs8QGYRYsWFSkLCgpizZo1lTZ+YQZUrukGHubV5mHoPQNW/w1WTYF6baBFGQfkGQzw2Gfg14zWOW6wfj2/nEon/Uoevh4lP95SREREREREft8yMzNJSkqq1Ke0ff7555w6dcquM66qWmxsLFOmTLkhwac5c+YQFhaGl5cX3333HYsXL+b999+v8nGrqwoFoHbt2kV4eDgeHh5069YNs9lMVFQUb7zxBqtXr6ZTp06VPU+HKm0LXnpOOi9veZlLeZeIDo+u0CMsSxT8Fzi3H3Z/AV+PhGc2g2/x+2Ot6t9heXOHwNqeHDmfxX8STjE8uFnlzUtERERERERuKT4+Ppw4caLS+vP396dOnTp8/PHHNzzTqDRvvfXWDRtrx44dzJ49m8zMTJo3b878+fMZNWrUDRu/uqlQAOr555/nkUce4ZNPPrE+ZSE/P59Ro0Yxfvx4Nm3aVKmTdDSjs+WA8tyCohlQrk6ubDy5EYAr+VfwdC3/qf5lMhig7xw48zMk/wz/fhIivwWX8j3VztfVsp/2y+3HFYASERERERGRG+YmOO2nyl37ZLzfuwptjN61axcvvviizSM+XVxcmDRpUpmPFbwZlZYB5eHigYuTZR0ycjMqf3BXD8u2OndfOLnTsiWvLKd3w0chvFvwBgBJ53QQuYiIiIiIiIg4ToUCUDVq1OD48eNFyk+cOGFzgv6torQMKIPBgK+b5dyr9Jz0ItcrRa1AGPix5esdH8H+b0uv71UPzvxE08wEGhnOkVdg5tdTVTQ3EREREREREZEyVCgANWTIEEaOHMmyZcs4ceIEJ0+eZOnSpYwaNYo//vGPlT1Hh7MeQl5MAAqghtHydIkqyYAq1LoPdH/W8vW3EyEns+S6vg0h0PKUwEddtwLwzx1FA4YiIiIiIiIiIjdChc6AmjNnDgaDgeHDh5Ofnw+Aq6srf/rTn27ogV43iptTyVvwgKrPgCoUOgX2fgMXj8GGN6HPzJLr3vE4HNnIH1y3Mi+3P1sOpVbt3ERERERERERESlChDCg3Nzfeffdd0tLSSEhIYPfu3Vy4cIF33nkHo9FY2XN0uNK24MENyoACcPOEh6IsX2//AE4nlFy3TT9w8aBhwSnuMCRx8kIWJpOpaucnIiIiIiIiIlKMCgWgCnl6etK+fXs6dOiAp2clPv2tmintEHKwZEC5O7uXGKCqVK16QbvBYDbBf8eBqaD4ekYfaPMwAAOdt1Bghq1J56t+fiIiIiIiIiJSLS1atIiaNWva1aZZs2bMmzfvuscudwBq0KBBZGRkWL8u7XWrKcyAKikANaPHDHY+sZPHgx6/MRMKfxOMvnAmAXZ9WnK9Dpb5DHD5HhfySUrR0/BEREREREQqW2RkJAMGDChSHhcXh8Fg4OLFi5U6XlpaGhEREfj6+uLr60tERESZY5jNZqZNm0aDBg3w8PAgNDSUPXv22DXu0aNHMRgMJCQkFLkWGhrK+PHj7eqvLF9//TVt27bFaDTStm1bYmJiyjW/a1+xsbHlHrO49le/IiMjr/OubpziAkdDhgzhwIEDDplPuQNQvr6+GAwGwPIUvMJv9OJet5rCAFSeKa/Y685OzjdyOuDjDw+8Yvl64yzIKSGw1DwU2j/G5jZTMeHEjqMXbtgURUREREREpGoMHTqUhIQEYmNjiY2NJSEhgYiIiFLbzJ49m6ioKBYsWMDOnTsJCAggLCyMzMxSHnDlQPHx8QwZMoSIiAh++uknIiIieOyxx9i+fXuZbdeuXcuZM2esr/vvv7/c417dbt68edSoUcOm7N13372e23I4Dw8P6tWr55Cxyx2Aio6OxsfHB7CkbEVHR5f4utW4OrsCJWdAOUTnSPALhMvn4PsPiq/j7AKDP6H+XYMx4UR80nlMJvMNnaaIiIiIiIhYjBgxgg4dOpCTY/ndMi8vj86dOzNs2LBy97Fv3z5iY2NZuHAhwcHBBAcH88knn7By5UoSExOLbWM2m5k3bx4vv/wygwYNol27dixevJisrCy+/PLLSrm3q02fPp327dsXKe/cuTNTp04tVx/z5s0jLCyMyZMnExQUxOTJk3nggQfKtRWsdu3aBAQEWF9ubm7lnvvV7QoTcQo/u7q6MmbMGBo1amQ9kuif//ynTfvQ0FCee+45Jk2aRK1atQgICGDatGk2dfbv388999yDu7s7bdu2Ze3atRgMBlasWGGtc+rUKYYMGYKfnx+1a9emf//+HD161Hq9MOtuzpw51K9fn9q1a/PnP/+ZvLw86zyOHTvG888/b83egqJb8JKSkujfvz/+/v54e3vTtWtX1q5dW+71skeFzoC6//77i03vy8jIsCuyeLMo6xDyX879wrPrnuX171+/cZNydoX7/2b5ett8uFzy+U53NK6Ju4sTaVl5xO5JvkETFBERERERkavNnz+fy5cv89JLLwHwyiuvkJqayvvvv2+tExoaWuo2r/j4eHx9fbnrrrusZXfffTe+vr5s27at2DZHjhwhOTmZ3r17W8uMRiMhISEltrkeI0aMYO/evezcudNa9vPPP7N7924iIyOtWxOvDqhcKz4+3ma+AOHh4eWa7yOPPEK9evXo0aMHX331VYXv41rZ2dl07tyZlStX8uuvv/L0008TERFRJCtr8eLFeHl5sX37dmbPns306dNZs2YNACaTiQEDBuDp6cn27dv5+OOPefnll23aZ2Vl0bNnT7y9vdm0aRNbtmzB29ubPn36kJv7W1xiw4YNJCUlsWHDBhYvXsyiRYtYtGgRAMuXL6dRo0ZMnz7dmr1VnEuXLtG3b1/Wrl3L7t27CQ8Pp1+/fhw/frzS1q2QS0UaxcXF2dx0oezsbDZv3nzdk6puyjoD6lLeJeJOxtGyZssbOS24fRBsnQfJv8CWKAh/o9hqrpfOMMH1a06ZPfnqh7r0bV//xs5TRERERESkIsxmyMtyzNiunvC/rJHyWLlyJd7e3jZlBQW2D43y9vbmiy++ICQkBB8fH+bOncu6detsjrJp0qQJ9euX/DtbcnJysVuo6tWrR3Jy8QkHheX+/v425f7+/hw7dqz0GytG9+7dcXKyzWe5cuUKd955JwCNGjUiPDyc6OhounbtClh2VYWEhNC8eXNSU1Np3bo1rq6uJY6RnJxc7HxLukewrG9UVBQ9evTAycmJb775hiFDhrB48WKeeOIJu+/zWg0bNmTixInWz88++yyxsbH8+9//tgkIdujQgVdffRWAVq1asWDBAtatW0dYWBirV68mKSmJuLg4AgICAHjjjTcICwuztl+6dClOTk4sXLjQmrkUHR1NzZo1iYuLswbm/Pz8WLBgAc7OzgQFBfHQQw+xbt06Ro8eTa1atXB2dsbHx8c6TnHuuOMO7rjjDuvn119/nZiYGL755hv+8pe/XPeaXc2uANTPP/9s/Xrv3r02f/AFBQXExsbSsGHDyptdNVHWU/BqudcC4EL2DT5jyckJHngVljwKOz6Bu8eCbzHrfzyep83/5rRLLR451vfGzlFERERERKSi8rJgZgPHjD3lNLh5lbt6z549+eAD2+NRtm/fXiTwERwczMSJE5kxYwYvvvgi9913n831zz77rMyxDMUExsxmc7HlpbUrT5viLFu2jDZt2tiUXbuNcPTo0YwYMYKoqCicnZ1ZsmQJc+fOBaBbt27s37+/zHHsnW+dOnV4/vnnrZ+7dOlCWloas2fPrpQAVEFBAW+99RbLli3j1KlT5OTkkJOTg5eX7fdJhw4dbD7Xr1+flJQUABITE2ncuLFNUKhbt2429X/44QcOHTpkPQapUHZ2NklJSdbPt99+O87Ov51JXb9+fX755Re77uny5cu89tprrFy5ktOnT5Ofn8+VK1ccnwF15513WvcOFrfVzsPDg/fee6/SJldduDlZAlB5BcUfQl7TWBOA9Jx0TGYTToYK7WysmJa9oGkPOLYVNr4FjxSz/m36ketWkwa5F2ifs4tL2b3wdq9Q8puIiIiIiIgUw8vLi5YtbXfFnDx5skg9k8nE1q1bcXZ25uDBg3aPExAQwNmzZ4uUnzt3rkjG0NVtwJJVdHV2VUpKSoltStO4ceMi9+rh4WHzuV+/fhiNRmJiYjAajeTk5DB48OByjxEQEFAk26ki87377rtZuHChXW1KMnfuXN555x3mzZtH+/bt8fLyYvz48UV2iF2b2WUwGDCZTED5gn4mk4nOnTuzZMmSItfq1q1brnHK64UXXmDVqlXMmTOHli1b4uHhwaOPPlrsrrfrZVcU4siRI5jNZpo3b86OHTtsbtzNzY169erZRN9uFWVlQPm5+wFQYC4gMzcTX+MNfBKgwWDJgvq0NyR8CfdOBL+mtnVcjLh0HArb3+ePzutZ/uMTDO/e7MbNUUREREREpCJcPS2ZSI4auwq8/fbb7Nu3j40bN1q3qT311FPlbh8cHEx6ejo7duywZs5s376d9PR0unfvXmybwMBAAgICWLNmDR07dgQgNzeXjRs3MmvWrOu/qWK4uLjw5JNPEh0djdFo5PHHH8fTs/xrGhwczJo1a2wymlavXl3iPZZk9+7dpW5ptMfmzZvp37+/NZvKZDJx8ODBItlgpQkKCuL48eOcPXvWGky7+qwsgE6dOrFs2TLq1atHjRo1KjxfNze3IttAr7V582YiIyMZOHAgYDkTqrSzua6HXak6TZs2pVmzZphMJrp06ULTpk2tr/r169+SwSco+wwoN2c3vFwtKXdp2Wk3bF5WTe6C5j3BlA+b5xZbxalLJAD3O+1ma8KvN3ByIiIiIiIiFWQwWLbBOeJVga1pZUlISGDq1Kn84x//oEePHrz77ruMGzeOw4cPW+sMHz6cyZMnl9hHmzZt6NOnD6NHj+b777/n+++/Z/To0Tz88MO0bt3aWi8oKIiYmJj/LaOB8ePHM3PmTGJiYvj111+JjIzE09OToUOHVvp9Fho1ahTr16/nu+++Y8SIEdbyHTt2EBQUxKlTp0psO27cOFavXs2sWbPYv38/s2bNYu3atYwfP95aZ8GCBTzwwAPWz4sXL+bLL79k3759JCYmMmfOHObPn8+zzz5bKffTsmVL1qxZw7Zt29i3bx/PPPNMqWdSFScsLIwWLVrw5JNP8vPPP7N161brIeSFmVHDhg2jTp069O/fn82bN3PkyBE2btzIuHHjis2qK0mzZs3YtGkTp06dIjU1tcR7Wr58OQkJCfz0008MHTrU7iyq8rquvWJ79+4lNjaWb775xuZ1qynrKXjw2za8izkXb8CMihFqeYoCCUsgrZhD5Oq25rBHe1wMJjqcXXFDpyYiIiIiIvJ7l52dzbBhw4iMjKRfv34AjBw5kl69ehEREWHNVDl+/HiJTywrtGTJEtq3b0/v3r3p3bs3HTp04PPPP7epk5iYSHp6uvXzpEmTGD9+PGPHjqVLly6cOnWK1atX25wzFBkZSWhoaCXdseUA7u7du9O6dWubQ7qzsrJITEwkL6/4Y27ActD50qVLiY6OpkOHDixatIhly5bZ9JOammpzJhJYDtHu0qULXbt2ZenSpXz66ac2WVRHjx7FYDAQFxdn9/288sordOrUifDwcEJDQwkICGDAgAF29eHs7MyKFSu4dOkSXbt2ZdSoUfztb5Yn3Lu7uwPg6enJpk2baNKkCYMGDaJNmzaMGDGCK1eu2JURNX36dI4ePUqLFi1sdrBd7Z133sHPz4/u3bvTr18/wsPD6dSpk133VF4Gs9lstrfR4cOHGThwIL/88gsGg4HCLgqjdWWleFV3GRkZ+Pr6kpaWRs2aNYk/Hc/Ta56mlV8rlj+yvNg2Q/9vKIcuHuKd0Hfo0bDHDZ7x/3zWHw7HQedI6PdukcsH1nzKbVufJ8VcE+PEPfj6eBep40gmk4kLFy5Qq1atIk9UkKqjdXccrb1jaN0dQ+vuGFp3x9HaO4bW/bffZdLT069r646jZGdnc+TIEQIDA62/jMuNExoaSmhoKNOmTauU/sxmM0FBQTzzzDNMmDChUvq8XnFxcQwcOJDDhw/j5+fn6OkAsHXrVu655x4OHTpEixYtHD0du9jzM1uhv5XHjRtHYGAgZ8+exdPTkz179rBp0ya6dOlSoShidVd4BlRJh5ADLO6zmB3Ddjgu+AQQ8r8sqN1L4OKJIpdbhg7lBAGsLujMz0dLj6iLiIiIiIjI70dmZiZJSUlMnDixUvpLSUkhKiqKU6dO2XXGVVWLjY1lypQpDg0+xcTEsGbNGo4ePcratWt5+umn6dGjx00XfLJXhR6FFh8fz/r166lbty5OTk44OTlxzz338Oabb/Lcc8+xe/fuyp6nQ5V1BhSAq7NriddumKbBEHgfHNkEW6Lg4XdsLju5uvP3279k6Q/JjD6ex73tHTRPERERERERqVZ8fHw4caJoIkNF+fv7U6dOHT7++ONqk2kE8NZbbzl6CmRmZjJp0iROnDhBnTp16NWrF3PnFn+e862kQgGogoICvL0t27fq1KnD6dOnad26NU2bNiUxMbFSJ1gdlPUUvGol5CVLAOrHz6HH+CJPxAtuFcDSH5LZcrD4A8hERERERERErlcFTvv53Rg+fDjDhw939DRuuAptwWvXrh0///wzAHfddRezZ89m69atTJ8+nebNm1fqBKuD8hxCvunkJv6y7i98+NOHN2paxWvWA5qHgikPNs4ucrlrM0vk2fVsAuc2/P0GT05EREREREREfo8qFID629/+Zn0s3+uvv86xY8e49957+fbbb5k/f36lTrA6KM8WvNQrqWw8uZGfz/18o6ZVsvunWt5/+hJSD9pcalDTkzbOZ/jG+Aq1Nr0CGToLSkRERERERESqVoUCUOHh4QwaNAiA5s2bs3fvXlJTU0lJSeH++++v1AlWB65OlvOd8kx5JaYR+hktmUUXcy7eqGmVrFFnaN0XzCbYMLPo9Xq3scPUGmdzAexceOPnJyIiIiIiIiK/K5X2bNJatWphMBgqq7tqpTADCiDXVPw2PD93SwDqQvaFGzKnMvV8GTDAnuWQ/IvNpfuD/Pk0/0HLh52fQHbGjZ+fiIiIiIiIiPxulPsQ8sKMp/JYvnx5hSZTXV0dgMopyLH5XKimsSZQTTKgAALaQbtB8OvXsP4NGLrUemnoXY25d0MXkkz1aZF9Bn5YBD2ec9xcRUREREREROSWVu4MKF9f33K/bjUuTi4YsGR3lXQQeWEG1OW8y6UeVn5DhU4BgzMc+A6ObrEWN6zpibubKx8W9LMUxP8d8m+CJ/yJiIiIiIiIyE2p3BlQ0dHRVTmPas1gMGB0NpJdkF3iQeQ+bj44G5wpMBeQlp2Gv5f/DZ5lMeq0hM6RsOsf8O0L8MwmcLacZ9Wmvg8rjt3DRLev8b+UDAlfQpenHDtfERERERERkd+JadOmsWLFChISEqqkf4PBQExMDAMGDKiS/u1VaWdA3epc/xe4KSm7ycngRE1jTTxcPMjMzbyRUyvd/X8Dj1qQshd2fGIt7tuuPnm4EG16CHONRuDm5cBJioiIiIiI3LwiIyOL/SU/Li4Og8HAxYsXK3W8tLQ0IiIirLuQIiIiyhzDbDYzbdo0GjRogIeHB6GhoezZs8eucY8ePYrBYCg2YBIaGsr48ePt6q8sX3/9NW3btsVoNNK2bVtiYmLKNb9rX7GxsXaNm5KSwjPPPEOTJk0wGo0EBAQQHh5OfHz89dxOERMnTmTdunXWz8V9H5W25jebcmdAXS0wMLDUA8cPHz5c4QlVV0ZnI5lklrq9bvWjq3FzdruBsyoHz1rQ61X47ziIexPaDQYff4bd3ZTZqxL5NOcBBj8+jVYNajt6piIiIiIiIlIOQ4cO5eTJk9bAytNPP01ERAT//e9/S2wze/ZsoqKiWLRoEbfddhuvv/46YWFhJCYm4uPjc6OmXm7x8fEMGTKEGTNmMHDgQGJiYnjsscfYsmULd911V6lt165dy+233279XKtWLbvGHjx4MHl5eSxevJjmzZtz9uxZ1q1bx4ULlfvQMW9vb7y9vSu1z+qsQhlQ48ePZ9y4cdbX2LFjCQ4OJj09naeffrqy51gtFB48XtIWPKD6BZ8KdRwODTpBTgasmQqAu6szXZr5kYsrW4/oKXgiIiIiIiJVbcSIEXTo0IGcHMvvlXl5eXTu3Jlhw4aVu499+/YRGxvLwoULCQ4OJjg4mE8++YSVK1eSmJhYbBuz2cy8efN4+eWXGTRoEO3atWPx4sVkZWXx5ZdfVsq9XW369Om0b9++SHnnzp2ZOnVqufqYN28eYWFhTJ48maCgICZPnswDDzzAvHnzymxbu3ZtAgICrC83t/L/rn7x4kW2bNnCrFmz6NmzJ02bNqVbt25MnjyZhx56yFovKiqK9u3b4+XlRePGjRk7diyXLl2y6euTTz6hcePGeHp6MnDgQKKioqhZs6b1+rRp07jzzjutXy9evJj//Oc/1sytuLg4AgMDAejYsSMGg4HQ0FAAdu7cSVhYGHXq1MHX15eQkBB+/PHHct+nI1QoAHV18GncuHFMnDiRJUuWMH369BK/4W92hcGl0gJQ1ZaTEzw0BzDAz0vh8EYAureoA8C3vyaDqQAS/gkHVjlwoiIiIiIiIreu+fPnc/nyZV566SUAXnnlFVJTU3n//fetdUJDQ4mMjCyxj/j4eHx9fW2ygO6++258fX3Ztm1bsW2OHDlCcnIyvXv3tpYZjUZCQkJKbHM9RowYwd69e9m5c6e17Oeff2b37t1ERkZatyYePXq0xD7i4+Nt5gsQHh5ervk+8sgj1KtXjx49evDVV1/ZNffCrKQVK1ZYA4XFcXJyYv78+fz6668sXryY9evXM2nSJOv1rVu3MmbMGMaNG0dCQgJhYWG88cYbJfY3ceJEHnvsMfr06cOZM2c4c+YM3bt3Z8eOHYAlq+vMmTMsX74cgMzMTJ588kk2b97M999/T6tWrejbty+ZmdXoSKBrVGgLXkkefPBBJk+efEseWF6YAVXaFrxvkr5h1dFV9Gzck0dve/RGTa18Gna2HDK+61OIeQbGbKWxnycAO45cIO/7j3Fd/RLUbgktHgDnSv3WEBERERERqbjcyyVfMziDq3s56zqBq0fZdStwRu7KlSuLbKcqKCiw+ezt7c0XX3xBSEgIPj4+zJ07l3Xr1tk8Tb5JkybUr1+/xHGSk5OpV69ekfJ69eqRnJxcYhsAf3/bh2X5+/tz7Nix0m+sGN27d8fJyTaf5cqVK9ZsnkaNGhEeHk50dDRdu3YFLA82CwkJoXnz5qSmptK6dWtcXV1LHCM5ObnY+ZZ0j2BZ36ioKHr06IGTkxPffPMNQ4YMYfHixTzxxBPlujcXFxcWLVrE6NGj+fDDD+nUqRMhISE8/vjjdOjQwVrv6vOuAgMDmTFjBn/605+swcT33nuPBx98kIkTJwJw2223sW3bNlauXFni3D08PMjJySEgIMBaXrduXeC3rK5C999/v037jz76CD8/PzZu3MjDDz9crnu90So1yvDVV1/ZvbfyZuHmZMmAKi0AdTzjOJtObqK+V8l/WThU79fh6BZIPQAr/kSfx/5pvbTSqScDPWvD+UOWLKmO5fvhFBERERERqXIzG5R8rVVvGPbv3z6/3RLysoqv2/QeeOr/fvs8rz1knS9ab1q63VPs2bMnH3zwgU3Z9u3biwQ+goODmThxIjNmzODFF1/kvvvus7n+2WeflTlWcWcym83mUs9qLq5dedoUZ9myZbRp08am7NpthKNHj2bEiBFERUXh7OzMkiVLmDt3LgDdunVj//79ZY5j73zr1KnD888/b/3cpUsX0tLSmD17drkDUGA5A+qhhx5i8+bNxMfHExsby+zZs1m4cKE1O23Dhg3MnDmTvXv3kpGRQX5+PtnZ2Vy+fBkvLy8SExMZOHCgTb/dunUrMQBlr5SUFKZOncr69es5e/YsBQUFZGVlcfz48UrpvypUKABVuPewkNlsJjk5mXPnztmkDt5KrFvwTCWn4Pm5+wGQlp12Q+ZkNzcveDQaPrkfDq7CbddH1PW5jXOZOcTsSWfgPc/D6r9B3Cxo/wdwMTp6xiIiIiIiIjcFLy8vWrZsaVN28uTJIvVMJhNbt27F2dmZgwcP2j1OQEAAZ8+eLVJ+7ty5IhlDV7cBS1bR1dlVKSkpJbYpTePGjYvcq4eHh83nfv36YTQaiYmJwWg0kpOTw+DBg8s9RkBAQJFsp4rM9+6772bhwoV2tQFwd3cnLCyMsLAwpk6dyqhRo3j11VeJjIzk2LFj9O3blzFjxjBjxgxq1arFli1bGDlyJHl5eUDxwTKz2Wz3PEoSGRnJuXPnmDdvHk2bNsVoNBIcHExubslJM45WoQDUtY8FdHJyom7duoSGhhIUFFQZ86p2yrMFz8/4vwBUTjUNQAEEtIM+M+H//gprpjK4wbt8mFmTn06mw/BRsG0BpB+HHz+DbqMdPVsRERERERGYcrrkawZn288vHCql7jXHII//peJzqqC3336bffv2sXHjRus2taeeeqrc7QsfALZjxw66desGWDKt0tPT6d69e7FtAgMDCQgIYM2aNXTs2BGA3NxcNm7cyKxZs67/porh4uLCk08+SXR0NEajkccffxxPT89ytw8ODmbNmjU2GU2rV68u8R5Lsnv37lK3NJZX27ZtWbFiBQC7du0iPz+fuXPnWrci/utf/7KpHxQUZD2/qdCuXbtKHcPNza3Its3CA9SvLd+8eTPvv/8+ffv2BeDEiROkpqbad1M3WIUCUK+++mplz6PaK88h5DXdawLVOAOqUJeRcDgO9v2X51Nf5f8MUzhxxZ/0PGd875sI306ETW/DnUMrtPdZRERERESkUtnze0lV1a0ECQkJTJ06la+++ooePXrw7rvvMm7cOOvZSADDhw+nYcOGvPnmm8X20aZNG/r06cPo0aP56KOPAHj66ad5+OGHad26tbVeUFAQb775JgMHDsRgMDB+/HhmzpxJq1ataNWqFTNnzsTT05OhQ4dW2f2OGjXKulVv69at1vIdO3YwfPhw1q1bR8OGDYttO27cOO677z5mzZpF//79+c9//sPatWvZsmWLtc6CBQuIiYlh3bp1ACxevBhXV1c6duyIk5MT//3vf5k/f75dQbbz58/zhz/8wfrEQh8fH3bt2sXs2bPp378/AC1atCA/P5/33nuPfv36sXXrVj788EObfp599lnuu+8+oqKi6NevH+vXr+e7774rdQths2bNWLVqFYmJidSuXRtfX1/q1auHh4cHsbGxNGrUCHd3d3x9fWnZsiWff/45Xbp0ISMjgxdeeKFIFlp1U+6n4GVkZJT7dSsqTwZULXfL+VfVPgBlMED/v4N/O4zZ5/jc9S1qk86/dp2ATk9CzaZw6Sxsne/omYqIiIiIiNwSsrOzGTZsGJGRkfTr1w+AkSNH0qtXLyIiIqwZLsePH+fMmTOl9rVkyRLat29P79696d27Nx06dODzzz+3qZOYmEh6+m9nWU2aNInx48czduxYunTpwqlTp1i9ejU+Pj7WOpGRkYSGhlbSHUOrVq3o3r07rVu3tnlqX1ZWFomJidbtasXp3r07S5cuJTo6mg4dOrBo0SKWLVtm009qaipJSUk27V5//XW6dOlC165dWbp0KZ9++qlNFtXRo0cxGAzExcUVO663tzd33XUX77zzDvfddx/t2rXjlVdeYfTo0SxYsACAO++8k6ioKGbNmkW7du1YsmRJkYBhjx49+PDDD4mKiuKOO+4gNjaW559/Hnd39+KGBSznZrVu3ZouXbpQt25dtm7diouLC/Pnz+ejjz6iQYMG1iDYp59+SlpaGh07diQiIoLnnnuu2MPpqxODuZybEJ2cnMp9ONm1qWE3m4yMDHx9fUlLS6NmzZoAvLzlZb5J+oYJnSfwVLvi0yOTLycT9lUYzgZndkfsrtBhbjdUxhn4R29IP85PpubM9n+bJX/uBXtWQPwCCH8TGne9YdMxmUxcuHCBWrVqFXmiglQdrbvjaO0dQ+vuGFp3x9C6O47W3jG07r/9LpOenk6NGjUcPR27ZWdnc+TIEQIDA0v9RV2qRmhoKKGhoUybNq1S+jObzQQFBfHMM88wYcKESunzesXFxTFw4EAOHz6Mn5/fDR179OjR7N+/n82bN9/QcauSPT+z5d6Ct2HDBuvXR48e5aWXXiIyMpLg4GAA4uPjWbx4cYlpgje78mzBKzyE3M3ZjUt5l/Bx8ymxbrVQoz5ExJD14QPckX+YiWnTIa8HtO1veVX3AJqIiIiIiIhUiszMTJKSkir1KW2ff/45p06dsuuMq6oWGxvLlClTbkjwac6cOYSFheHl5cV3333H4sWLb9kHt5VHuQNQISEh1q+nT59OVFQUf/zjH61ljzzyCO3bt+fjjz/mySefrNxZVgPl2YJndDayc9hO3F1uokh9nZZcevRLzP8cSMf8n8hf8jguw5aC61V7R81mBaNERERERERuYT4+Ppw4caLS+vP396dOnTp8/PHHNzzTqDRvvfXWDRtrx44dzJ49m8zMTJo3b878+fMZNWrUDRu/uqnQIeTx8fFFDtgC6NKlyy27mOXJgAJuruDT/9QL6sGzHlN568p0vI7GwdJh8PiXYMqDzVFwejdExCgIJSIiIiIiIuVSztN+bmnXPhnv965CG6MbN25cbADqo48+onHjxtc9qeqoMAOqrADUzco5sAdP5U4i22CEpHWw7Am4nArffwCHN8CvXzt6iiIiIiIiIiJyk6pQBtQ777zD4MGDWbVqFXfffTcA33//PUlJSXz99a0ZqHBzsmRA5ZlKPqUf4LM9n/H9me95rPVjhDYOvQEzqxy1vYysMLdhVN4kvnCfA4fWwHcvQo9xsPEtWDUFWoWBu6+jpyoiIiIiIiIiN5kKZUD17duXgwcP8sgjj3DhwgXOnz9P//79OXDgAH379q3sOVYL5d2Cl5iWyOZTmzmcfvhGTKvSDL2rCQBb8ttwtM+n4OIBB1fBqR+hVnO4dBY2zHTwLEVERERERETkZlShDCiARo0aMXPm7ycgUZ5DyAFqGmsCkJadVtVTqlQt6nrj7uJEdr6JT081YfrQpfDlEDi0Ghp1gwuHYcfHcMcfocGdjp6uiIiIiIiIiNxEKpQBBXDx4kXmzp3LqFGjGD16NO+88w7p6emVObdqpbxnQPm5W073v9kCUACt/L0B2HzwHDQPhT8uBRd3OLkDajYFswn+bwKYTI6dqIiIiIiIiIjcVCoUgNq1axctWrTgnXfe4cKFC6SmphIVFUWLFi348ccfK3uO1UJ5t+D5GS0BqIs5F6t6SpWuV1t/AI5fuGJ5YkGLnvCHxWBwgovHwNkNziXCuf0OnqmIiIiIiIiI3EwqFIB6/vnneeSRRzh69CjLly8nJiaGI0eO8PDDDzN+/PhKnmL1UBiAyiso/RDymu41gZszA+qPXS3nQBWYzHx/+LylsHUfeHC25euCXOj5Mvi3ddAMRURERERERKSiFi1aRM2aNe1q06xZM+bNm3fdY1c4A+rFF1/ExeW3I6RcXFyYNGkSu3btuu5JVUfl3YJX2702AKlXUqt8TpWtXg13vI2WP9OVP5/57UK30dD9WcvXa6bCsW0OmJ2IiIiIiEj1FBkZyYABA4qUx8XFYTAYuHjxYqWOl5aWRkREBL6+vvj6+hIREVHmGGazmWnTptGgQQM8PDwIDQ1lz549do179OhRDAYDCQkJRa6FhoZWakLKnj17GDx4MM2aNcNgMJQ7APLLL78QEhKCh4cHDRs2ZPr06ZYdPuVkMBhKfUVGRlbshhyguMDRkCFDOHDggEPmU6EAVI0aNTh+/HiR8hMnTuDj43Pdk6qOyrsFL8ArAIDsgmxM5pvvrKRBnRoCcPHKNZlevaZD2/5gyoN/R8KvMbD3mxs/QRERERERkd+5oUOHkpCQQGxsLLGxsSQkJBAREVFqm9mzZxMVFcWCBQvYuXMnAQEBhIWFkZmZeYNmbZ+srCyaN2/OW2+9RUBAQLnaZGRkEBYWRoMGDdi5cyfvvfcec+bMISoqqtzjnjlzxvqaN28eNWrUsCl79913K3pL1YKHhwf16tVzyNgVCkANGTKEkSNHsmzZMk6cOMHJkydZunQpo0aN4o9//GNlz5H333+fwMBA3N3d6dy5M5s3by5Xu61bt+Li4sKdd9553XMo71Pw6nnWY/vQ7WwcshEnQ4XPeHeYhzs0ACA+6Twm01VRYicnGPAB1G0Dl87CV5HwzbOQedYxExUREREREbnJjBgxgg4dOpCTY0lsyMvLo3PnzgwbNqzcfezbt4/Y2FgWLlxIcHAwwcHBfPLJJ6xcuZLExMRi25jNZubNm8fLL7/MoEGDaNeuHYsXLyYrK4svv/yyUu7tatOnT6d9+/ZFyjt37szUqVPL1UfXrl15++23efzxxzEajeVqs2TJErKzs1m0aBHt2rVj0KBBTJkyhaioqHJnQQUEBFhfvr6+GAwG62dXV1fGjBlDo0aN8PT0pH379vzzn/+0aR8aGspzzz3HpEmTqFWrFgEBAUybNs2mzv79+7nnnntwd3enbdu2rF27FoPBwIoVK6x1Tp06xZAhQ/Dz86N27dr079+fo0ePWq8XZt3NmTOH+vXrU7t2bf785z+Tl5dnncexY8d4/vnnrdlbUHQLXlJSEv3798ff3x9vb2+6du3K2rVry7VW9qpQhGTOnDkMGjSI4cOH06xZM5o0aUJkZCSPPvoos2bNqtQJLlu2jPHjx/Pyyy+ze/du7r33Xh588MFiM7Culp6ezvDhw3nggQcqZR5uTuXLgHIyOOHp6lkpYzrCnY1r4uXmzIXLuew5fc1TDd28YMjn4Gp5Wh7ZF2HleLAjnVFERERERKS8zGYzWXlZDnnZs22rvObPn8/ly5d56aWXAHjllVdITU3l/ffft9YJDQ0tdZtXfHw8vr6+3HXXXdayu+++G19fX7ZtK/64lCNHjpCcnEzv3r2tZUajkZCQkBLbXI8RI0awd+9edu7caS37+eef2b17N5GRkdatiVcHVCpDfHw8ISEhNgGr8PBwTp8+XSljZWdn07lzZ1auXMmvv/7K008/TUREBNu3b7ept3jxYry8vNi+fTuzZ89m+vTprFmzBgCTycSAAQPw9PRk+/btfPzxx7z88ss27bOysujZsyfe3t5s2rSJLVu24O3tTZ8+fcjN/S0pZsOGDSQlJbFhwwYWL17MokWLWLRoEQDLly+nUaNGTJ8+3Zq9VZxLly7Rt29f1q5dy+7duwkPD6dfv35lxlwqwqXsKkW5ubnx7rvv8uabb5KUlITZbKZly5Z4elZ+4CUqKoqRI0cyatQoAObNm8eqVav44IMPePPNN0ts98wzzzB06FCcnZ1toogVZT2E3FT6IeQ3OzcXJwLrePHr6QzmrD7A4hHdbCvUaQUD34d/Dbd8TvwWdn8OnYbf+MmKiIiIiMgt7Ur+Fe768q6yK1aB7UO325VcsHLlSry9vW3KCgoKbD57e3vzxRdfEBISgo+PD3PnzmXdunX4+vpa6zRp0oT69euXOE5ycnKxW6jq1atHcnJyiW0A/P39bcr9/f05duxY6TdWjO7du+PkZJvPcuXKFevuo0aNGhEeHk50dDRdu3YFIDo6mpCQEJo3b05qaiqtW7fG1dXV7rFLk5ycTLNmzWzKCu85OTmZwMDA6+q/YcOGTJw40fr52WefJTY2ln//+982AcEOHTrw6quvAtCqVSsWLFjAunXrCAsLY/Xq1SQlJREXF2fdWvjGG28QFhZmbb906VKcnJxYuHChNXMpOjqamjVrEhcXZw0k+vn5sWDBApydnQkKCuKhhx5i3bp1jB49mlq1auHs7IyPj0+pWxjvuOMO7rjjDuvn119/nZiYGL755hv+8pe/XNd6XcuuANSIESPKVe/TTz+t0GSulZubyw8//GCNDhfq3bt3qVHa6OhokpKS+OKLL3j99dfLHCcnJ8eaAgmWfaNgiUyaTJZznFwNlh+MnIIca1lJlh9czprja+jTrA/9W/Qvc/zqpkktT349ncGPx9OKv9egfhju/guG7xcAYP5uEuYmPaDW9f0wm0wmzGZzmesrlUvr7jhae8fQujuG1t0xtO6Oo7V3DK07v+t7d7SePXvywQcf2JRt376dJ554wqYsODiYiRMnMmPGDF588UXuu+8+m+ufffZZmWMVBiWuZjabiy0vrV152hRn2bJltGnTxqbs2m2Eo0ePZsSIEURFReHs7MySJUuYO3cuAN26dWP//v12j1sexd1jceUVUVBQwFtvvcWyZcs4deqUNZbg5eVlU69Dhw42n+vXr09KSgoAiYmJNG7c2CYo1K2bbeLHDz/8wKFDh4qcsZ2dnU1SUpL18+23346zs7PNOL/88otd93T58mVee+01Vq5cyenTp8nPz+fKlSuOz4BatGgRTZs2pWPHjlWSjnit1NRUCgoKio3SlhTZPXjwIC+99BKbN2+2eUpfad58801ee+21IuVpab8FYK5cuQJATn4OFy5cKLW/A+cOsO30Nvzd/LnX795yzaE6ebhNTb79NZnM7HwSjydT19utaKWOf8H38BZcUxIw5F0h/98jSR+8FJwqlFQHWP6xzMzMxGw2F4mmS9XRujuO1t4xtO6OoXV3DK2742jtHUPrTrU9ULqiPFw82D50e9kVq2hse3h5edGyZUubspMnTxapZzKZ2Lp1K87Ozhw8eNDueQUEBHD2bNGzeM+dO1fkd+er24AlC+jq7KqUlJQS25SmcePGRe7Vw8N2vfr164fRaCQmJgaj0UhOTg6DBw+2eyx7BAQEFIkVFAZ+KnKf15o7dy7vvPMO8+bNo3379nh5eTF+/HibbXFAkcwug8FgjS2UJ+hnMpno3LkzS5YsKXKtbt265RqnvF544QVWrVrFnDlzaNmyJR4eHjz66KNF7qky2BUtGDNmDEuXLuXw4cOMGDGCJ554glq1alX6pK5V3ihtQUEBQ4cO5bXXXuO2224rd/+TJ09mwoQJ1s8ZGRk0btwYPz8/6+FchmzLePnmfHxr+uLs5FxcVwAE1g6EJLhYcPGGrE9l61OrFi5fJ5JvMvN/+9OZ0Lt18RWHLML8UQ8MuZdxPbubWue2Q5t+FR7XZDJhMBjw8/P73f4HgyNo3R1Ha+8YWnfH0Lo7htbdcbT2jqF1p9z/E/5mYTAYbuozdovz9ttvs2/fPjZu3GjdpvbUU0+Vu31wcDDp6ens2LHDmjmzfft20tPT6d69e7FtAgMDCQgIYM2aNXTs2BGw7DjauHFjpZ/jXMjFxYUnn3yS6OhojEYjjz/+eJUc23O14OBgpkyZQm5uLm5ulkSK1atX06BBgyJb8ypi8+bN9O/f35rVZjKZOHjwYJFssNIEBQVx/Phxzp49aw2KXX1WFkCnTp1YtmwZ9erVo0aNGhWer5ubW5FtoNfavHkzkZGRDBw4ELCcCVXZZ3MVsutvp/fff5933nmH5cuX8+mnnzJ58mQeeughRo4cSe/evSslpe1qderUwdnZudgIZnHRy8zMTHbt2sXu3butexUL03BdXFxYvXo1999/f5F2RqOx2FP1nZycrP9wubu6W8vzycfVqeS9qg28LU+SS76cfNP+w9e8rhcHzl5izb5zTOxTwg9T7UB4ZAF8ZfnL0smjpuVpedfBYDDYrLvcGFp3x9HaO4bW3TG07o6hdXccrb1j/N7X/fd63zeLhIQEpk6dyldffUWPHj149913GTdunPVsJIDhw4fTsGHDEs88btOmDX369GH06NF89NFHADz99NM8/PDDtG79W/JAUFAQb775JgMHDsRgMDB+/HhmzpxJq1ataNWqFTNnzsTT05OhQ4dW2f2OGjXKGpzZunWrtXzHjh0MHz6cdevW0bBhw2Lb5ubmsnfvXuvXp06dIiEhAW9vb2v21YIFC4iJiWHdunUA1oSUyMhIpkyZwsGDB5k5cyZTp06tlHhFy5Yt+frrr9m2bRt+fn5ERUWRnJxsVwAqLCyMFi1a8OSTTzJ79mwyMzOth5AXznHYsGG8/fbb9O/fn+nTp9OoUSOOHz/O8uXLeeGFF2jUqFG5xmrWrBmbNm2yPkmwTp06xd7T8uXL6devHwaDgVdeeaXKtvLa/beT0Wjkj3/8I2vWrGHv3r3cfvvtjB07lqZNm3Lp0qVKnZybmxudO3e2nhZfaM2aNcVGdmvUqMEvv/xCQkKC9TVmzBhat25NQkKCzaFgds/F+bdtaLkFpaeiBXj9L73xcvHbBG8GvdpYAnxJ58r4M2036LcDyJc/DZdTq3hmIiIiIiIiN5/s7GyGDRtGZGQk/fpZdo6MHDmSXr16ERERYc1UOX78eIlPLCu0ZMkS2rdvT+/evenduzcdOnTg888/t6mTmJhIevpvTzafNGkS48ePZ+zYsXTp0oVTp06xevVqm3OGIiMjCQ0NraQ7thzA3b17d1q3bm3z+3hWVhaJiYnk5ZX8kK/Tp0/TsWNHOnbsyJkzZ5gzZw4dO3a0PqAMLMf2XH0mkq+vL2vWrOHkyZN06dKFsWPHMmHCBJsdT0ePHsVgMBAXF2f3/bzyyit06tSJ8PBwQkNDCQgIYMCAAXb1UfigtEuXLtG1a1dGjRrF3/72NwDc3S2JL56enmzatIkmTZowaNAg2rRpw4gRI7hy5YpdGVHTp0/n6NGjtGjRwmbr3tXeeecd/Pz86N69O/369SM8PJxOnTrZdU/lZTBfx2FOx48ftz7mLzc3l/379xc59f96LVu2jIiICD788EOCg4P5+OOP+eSTT9izZw9NmzZl8uTJnDp1qsSD2qZNm8aKFStISEgo95gZGRn4+vqSlpZm3YJnNpu58/M7MZlNrP/Deup6Fv+HB5Cek849S+8BYOewnbi7uJdYt7o6c/EKwW+tB2Dp6Lu5u0XtkivnZsHHoZCaCIE9of2gCj0Vz2QyceHCBWrVqqX/c3MDad0dR2vvGFp3x9C6O4bW3XG09o6hdf/td5n09PTr2rrjKNnZ2Rw5coTAwEDrL+Ny44SGhhIaGsq0adMqpT+z2UxQUBDPPPOMTRDIkeLi4hg4cCCHDx/Gz8/P0dMBLNlh99xzD4cOHaJFixaOno5d7PmZtXuDcE5OjnUL3pYtW3j44YdZsGABffr0qZK/5IcMGcL58+eZPn06Z86coV27dnz77bc0bdoUgDNnzlTJ6ezXMhgMGJ2NXMm/Qk5BTql1a7jVwNPFk6z8LJIvJ9PMt1mVz6+y1a/pgZ+nK2lZeWw9nFp6AMrNE/4QDR+FwpENlleNBtCy1w2br4iIiIiIiFRcZmYmSUlJrFy5slL6S0lJ4fPPP+fUqVN2nXFV1WJjY5kyZYpDg08xMTF4e3vTqlUrDh06xLhx4+jRo8dNF3yyl10BqLFjx7J06VKaNGnCU089xdKlS6ldu5TARCUZO3YsY8eOLfbaokWLSm07bdq0Soveujm7cSX/Splb8AwGAwFeAaReSeVizsVKGdsRRt3bnLdXJbL/TDmepOF/O/SZCd9OtHxe/jT8eSd4Vf33h4iIiIiIiFwfHx8fTpw4UWn9+fv7U6dOHT7++ONqk2kE8NZbbzl6CmRmZjJp0iROnDhBnTp16NWrF3PnznX0tKqcXQGoDz/8kCZNmhAYGMjGjRvZuHFjsfWWL19eKZOrboxOloPKswuyy6z7737/tjk36mZ0X6u6vL0qkfik8+QVmHB1LiPDresoOLQODnwHWedhxRgY+i+o5MPpRUREREREpHq7jtN+bnnDhw9n+HD7j6252dkVgBo+fHilP+nuZlLTvSYpV1I4f+V8mXVv9uATwO0NalDL05ULWXms3pPMQx0alN7AYIAB78Pf74LLKXBwNez8B3QbVXo7EREREREREbml2RWAKmu7262ugVcDDqQd4Mzl0p9IcKtwcjJQ438BqE+3Hik7AAXgWQuGLoOFvcBcALEvQuC9ULd12W1FRERERERE5Jb0+3w0RAXV964PwOlLp8usm5CSwJg1Y5i2bVoVz6pq3R1oOcNp7+lynANVqGEneGS+5WtTPqwo/vwuEREREREREfl9UADKDg28LBlApy+XHYDKLchl6+mt/HD2h6qeVpUaHmx52uCVvAIOnbUjCNXxCbjzCcvXKfsg+ZcqmJ2IiIiIiIiI3AwUgLJDgHcAAMmXk8usW9+rvrXuzXz4WtsGvhhdLN8mi+OP2de43zxodi/kXYbPB8H5pMqfoIiIiIiIiIhUewpA2cGaAVWOLXj+Xv6A5Yl56TnpVTqvqhYU4APAxgMp9jV0doUhX4B/e8uh5At7KRNKRERERERE5HdIASg7NPC2BKDOXTlHnimv1Lpuzm7Udrecn3SzH1ret70lm+tk2hVMJpN9jT1qQsRyMPrClQvwj3C4dK7yJykiIiIiIiJyE5k2bRp33nlnlfVvMBhYsWJFlfVvLwWg7FDLvRZuTm6YzCbOXj5bZv3CbXg3ewBq6F1NADCZ4dtfyt5+WIR3PXj0H5av8y7DB8GQZud2PhERERERkWoqMjKSAQMGFCmPi4vDYDBw8eLFSh0vLS2NiIgIfH198fX1JSIioswxzGYz06ZNo0GDBnh4eBAaGsqePXvsGvfo0aMYDAYSEhKKXAsNDWX8+PF29VeaPXv2MHjwYJo1a4bBYGDevHnlavfLL78QEhKCh4cHDRs2ZPr06XYfi5OSksIzzzxDkyZNMBqNBAQEEB4eTnx8fAXupGQTJ05k3bp11s/FfR+VtuY3GwWg7OBkcCLAy3IOVHmCSoVPzbvZA1A+7q7c5u8NwJHzlyvWSaswuHei5evL5+DjntqOJyIiIiIiUgFDhw4lISGB2NhYYmNjSUhIICIiotQ2s2fPJioqigULFrBz504CAgIICwsjM9OOh03dQFlZWTRv3py33nqLgICAcrXJyMggLCyMBg0asHPnTt577z3mzJlDVFSUXWMPHjyYn376icWLF3PgwAG++eYbQkNDuXDhQkVupUTe3t7Url27UvuszhSAspM9QSV/T39quNUg35Rf1dOqcn/sZsmCik86X/FO7v+b5VBygCvn4dMHIWlDJcxORERERESk+hsxYgQdOnQgJycHgLy8PDp37sywYcPK3ce+ffuIjY1l4cKFBAcHExwczCeffMLKlStJTEwsto3ZbGbevHm8/PLLDBo0iHbt2rF48WKysrL48ssvK+XerjZ9+nTat29fpLxz585MnTq1XH107dqVt99+m8cffxyj0ViuNkuWLCE7O5tFixbRrl07Bg0axJQpU4iKiip3FtTFixfZsmULs2bNomfPnjRt2pRu3boxefJkHnroIWu9qKgo2rdvj5eXF40bN2bs2LFcunTJpq9PPvmExo0b4+npycCBA4mKiqJmzZrW61dvwZs2bRqLFy/mP//5DwaDAYPBQFxcHIGBgQB07NgRg8FAaGgoADt37iQsLIw6derg6+tLSEgIP/74Y7nu0VEUgLKTPQeRT+wyka1/3MqTtz9Z1dOqcvfdVheAXUfTyMqtYEDNYIBHPwXPOpbPuZnwxSDYHAX2ni0lIiIiIiK/G1l5WSW+cgpyyl03Oz+7XHWryvz587l8+TIvvfQSAK+88gqpqam8//771jqhoaFERkaW2Ed8fDy+vr7cdddd1rK7774bX19ftm3bVmybI0eOkJycTO/eva1lRqORkJCQEttcjxEjRrB371527txpLfv555/ZvXs3kZGR1q2JR48erdRx4+PjCQkJsQlYhYeHc/r06XKP5e3tjbe3NytWrLAGCovj5OTE/Pnz+fXXX1m8eDHr169n0qRJ1utbt25lzJgxjBs3joSEBMLCwnjjjTdK7G/ixIk89thj9OnThzNnznDmzBm6d+/Ojh07AFi7di1nzpxh+fLlAGRmZvLkk0+yefNmvv/+e1q1akXfvn2rbUYbgIujJ3CzsScDytnJuaqnc8M0r+NFXW8j5y7l8Fn8UcaEtKxYR971YOCHsORRwABmE6x7DU7uhP7vl9lcRERERER+f+768q4Sr93b8F7e73VVAOdfoVzJv1Js3S7+XYjuE2393OfrPqTlpBWp98uT9h8XsnLlSry9vW3KCgoKbD57e3vzxRdfEBISgo+PD3PnzmXdunX4+vpa6zRp0oT69euXOE5ycjL16tUrUl6vXj2Sk4s/s7ew3N/f36bc39+fY8fsP5+3e/fuODnZ5rNcuXLFms3TqFEjwsPDiY6OpmvXrgBER0cTEhJC8+bNSU1NpXXr1ri6uto9dmmSk5Np1qyZTVnhPScnJ1uziUrj4uLCokWLGD16NB9++CGdOnUiJCSExx9/nA4dOljrXX3eVWBgIDNmzOBPf/qTNZj43nvv8eCDDzJxouUomttuu41t27axcuXKYsf19vbGw8ODnJwcmy2HdetakkFq165tU37//ffbtP/oo4/w8/Nj48aNPPzww2XepyMoA8pO1oPFL93c5zrZy2Aw4Otp+csh5seys79K1SoMHngVRq6BR94DZyMkfovh4xBczv5cCbMVERERERG5sXr27ElCQoLNa+HChUXqBQcHM3HiRGbMmMFf//pX7rvvPpvrn332GW+++WapYxkMhiJlZrO52PLS2pWnTXGWLVtW5F67dOliU2f06NH885//JDs7m7y8PJYsWcKIESMA6NatG/v376dhw4Z2j12W4u6xuPLSDB48mNOnT/PNN98QHh5OXFwcnTp1YtGiRdY6GzZsICwsjIYNG+Lj48Pw4cM5f/48ly9bzk1OTEykW7duNv1e+/l6pKSkMGbMGG677TbrYfSXLl3i+PHjlTZGZVMGlJ0Kt+CVJwPqct5l/hr3V85mneVfD/8LV+fKje7eaOG3B3Ao5RCHzl3CZDIViXjb5d4JlvfGXSGgA/wrAsPFY/h+/RjmB16F7n+xbNkTEREREZHfve1Dt5d47dqdJ3GPxZVY18lg+ztM7ODY65rX1by8vGjZ0nanyMmTJ4vUM5lMbN26FWdnZw4ePGj3OAEBAZw9W/Sp7OfOnSuS4XR1G7BkAV2dXZWSklJim9I0bty4yL16eHjYfO7Xrx9Go5GYmBiMRiM5OTkMHjzY7rHsERAQUCQLLCUlBSia/VUWd3d3wsLCCAsLY+rUqYwaNYpXX32VyMhIjh07Rt++fRkzZgwzZsygVq1abNmyhZEjR5KXlwcUH9yz92l8pYmMjOTcuXPMmzePpk2bYjQaCQ4OJjc3t9LGqGzKgLLT1Vvwyvrm8XDx4OdzP3Po4iEOXTx0I6ZXpZ7q0RSAApOZDYnnKq9jF3foNR1zm/4YTHk4rfkbfDkELl/HgeciIiIiInLL8HT1LPFldDaWu667i3u56lalt99+m3379rFx40ZWrVpFdHR02Y2uEhwcTHp6uvVsIIDt27eTnp5O9+7di20TGBhIQEAAa9assZbl5uaycePGEttcLxcXF5588kmio6OJjo7m8ccfx9Ozatc2ODiYTZs22QRhVq9eTYMGDYpszbNX27ZtrdlNu3btIj8/n7lz53L33Xdz2223cfq07U6hoKAgmz+jwnalcXNzK7Jt083NDSi6nfP/27vv8Kiq9IHj3zs9k94LkBAgFCF0VECKiChIEVRQLLAiP7sga1nbruta1t5QxFUQO7qKoisoSG9K752EQCrpdTLt/v64MBASIEAmk8D7eZ55mLlz5p533twMd96cc+7y5ct56KGHGDJkCO3bt8dsNpObm3tO762+SAHqLMVYY1BQqHRVkmc7fYFEp+hoH9EegK25Zz+HuKGJCLAQcnQa3hd/nP084RodWgvT+8LPk1AHvUBpv+dQ9WbY+yt8cAWkrqybfoQQQgghhBDCxzZt2sTf//53Pv74Y3r37s3bb7/NpEmTOHDggKfNHXfcwRNPPHHKfbRr145rr72WiRMnsmbNGtasWcPEiRMZOnQobdq08bRr27Ytc+bMAbTpZ5MnT+bFF19kzpw5bNu2jfHjx2O1Whk7dqzX3u9dd93FokWLmDdvnmf6HcCff/5J27ZtSU9PP+Vr7Xa7Z3qf3W4nPT2dTZs2sW/f8cEdU6dO5aqrrvI8Hjt2LGazmfHjx7Nt2zbmzJnDiy++yJQpU2o9BS8vL48BAwbw+eefs2XLFlJSUvj222955ZVXGDFiBAAtW7bE6XTy7rvvcuDAAT777DM++OCDKvt58MEH+eWXX3jjjTfYu3cv06dPZ968eaeNo3nz5mzZsoXdu3eTm5uLw+EgKioKPz8/5s+fT3Z2NkVFRQC0atWKzz77jJ07d/LHH39w6623VhuF1tBIAeosGfVGIv20RcCyympe4O1EyRHapSe3HLkw1ja6PDEM0K6GVyfiOkN0e7AVofw8CVuHsagTFkB4EpRkwKyhsORlcLvOuCshhBBCCCGEaKhsNhu33nor48ePZ9iwYQBMmDCBgQMHcvvtt3tGuKSlpZGZefolX7744guSk5MZNGgQgwYNomPHjnz22WdV2uzevdtTrAB47LHHmDx5Mvfddx/du3cnPT2d3377jcDAQE+b8ePH079//zp6x5CUlESvXr1o06ZNlav2lZeXs3v3bs90tZpkZGTQpUsXunTpQmZmJq+99hpdunThrrvu8rTJzc1l//79nsfBwcEsWLCAw4cP0717d+677z6mTJnClClTPG1SU1NRFIUlS5bU2G9AQACXXXYZb775Jn379qVDhw4888wzTJw4kalTpwLQuXNn3njjDV5++WU6dOjAF198UW3drt69e/PBBx/wxhtv0KlTJ+bPn8/DDz+MxWKpqVtAWzerTZs2dO/encjISFauXInBYOCdd95h+vTpxMXFeYpgM2bMoKCggC5dunD77bfz0EMP1bg4fUOiqHU5CfECUVxcTHBwMAUFBYSEhFR7/rZfbmPzkc283u91BjUfVH0HJ1hyaAkPLnqQFsEt+PH6H70TcD1atS+XsR9p869X/u1KmoTUwRDKI3tgeh9w2ijt/y+sfR9A5yiHXx6FzV9qbZIGwaj/gF/I+fcnqnC73eTn5xMWFnZ+63qJsya59w3Ju29I3n1D8u47knvfkLwf/y5TVFREUFCQr8M5azabjZSUFBITE0/7RV14R//+/enfvz/PPvtsnexPVVXatm3L3XffXaUI5EtLlixh5MiRHDhwgNDQ0Hrte+LEiezatYvly5fXa7/edDa/sxfnp/J5OpuFyI+NgEopSqHEXuLVuOpDr1YRGPXakMG5m87zanjHRLaGgc8C4L/iRcg/AOYAGDkNrp+mrRG19zf4zwDI2VU3fQohhBBCCCGE8CgpKWH//v088sgjdbK/nJwc3njjDdLT0/nLX/5SJ/usC/Pnz+fJJ5+sl+LTa6+9xubNm9m3bx/vvvsus2bNYty4cV7vt6GSAtQ5OLYQeUbpmQsw4X7hNAlogorK9rzt3g6tXtzQtSkA+4+U1d1OL70btXkfFGcFyg/3HJ9y13ks3PkrBDeD/P3w0VWwe17d9SuEEEIIIYQQgsDAQA4dOkRAQECd7C86Opp///vffPjhh/U+0uh0/v3vf/Poo4/WS19//vknV199NcnJyXzwwQe88847VaYQXmwMvg6gMYr1P34lvNroFt2NcEs4btXtzbDqzbBOcXy99hBLdh/B7VbR6Wq3mNtp6XSow6eiTuuN7vBa2PwVdLlNey6uM/zfEvh2PKQuh69ugUHPQ8/7oZYLyQkhhBBCCCGEqD+y2g988803vg6hQZEC1DmIC6j9FDyA53s/X+sV9xuDHs3DCDAbyC2tZH1aPj2ah9fNjkPiKev3LP7uInQdb676nH8E3D5HWxdq/Uz47SnI2wdDXgW9sW76F0IIIYQQQgghhFfIFLxzcGwEVG2m4AEXVPEJwGTQER+mLT7++m976nTflW1HwhVTQF9DbVRvhKFvwjUvAopWiPriJqgorNMYhBBCCCGEEEIIUbekAHUOjhWgiu3FlDlqvw5SuaMcm9PmrbDqVfs47Yoamw8VnaHleXBWwsHVVbcpijb17pavwOgPBxbDx4MgP8V7cQghhBBCCCHqlUzfEqJxOJvfVSlAnYMAUwCBpkAAMktrNw3v8WWP0/Orniw5vMSLkdWfCVckAlDhcLHlcGHdd1B6BD7oA59dD3n7qz/fZjDcOR8C4yB3t7Y4edqauo9DCCGEEEIIUW/0ej0Adrvdx5EIIWrj2O/qsd/d05E1oM5RnH8cu+27ySjLoFVoqzO2DzQF4lbdbD2ylWubX1sPEXpX29gg/E16yuwuPlqRwjs3d6nbDvwjIOhocenHB2D8/0B3Ur00tiNMXARf3QyZm+CTodqaUN0bziU+hRBCCCGEELVnMBiwWq0cOXIEo9GI7uTvAEKIBsPtdnPkyBGsVisGw5nLS1KAOkexAbHsLthd6xFQHSM7Mnv3bLbmbvVyZPWnW/NQlu3JZcXe3LrfuaLAsLfh/Z6QtgrWfQyXTqzeLigW/vIL/HAv7PgRfp4MGRtgyGtgMNd9XEIIIYQQQgivURSF2NhYUlJSOHjwoK/DEUKcgU6nIz4+vlZrX0sB6hxFW6MByC7PrlX75IhkAHbk7cDhdmDUNf4rt91xeQLL9uSSX2Ynp9hGVJClbjsITYCBz8K8R2Hhs9D6GgiJr97O5A83zYIVb8Lvz8GGTyF7O9zwEYS1qNuYhBBCCCGEEF5lMplISkqSaXhCNAImk6nWIxWlAHWOjhWgcspzatU+ISiBQFMgJfYStuVuo0tUHU9Z84EBbaMw6BScbpWPVxzgiSGX1H0nPe6C7d9D2mr4aRLc9r02OupkigJ9pmjT8v47AdLXw7Qr4NoXoeu4ml8jhBBCCCGEaJB0Oh0WSx3/gVsI4VMyofYcRfuf3QgonaKjf9P+AEzbNM1bYdUrnU5H1/hQAA4cKfdWJzD8XdCbYf8i2PTl6du3Ggj3LIeEK8BRphWtvroZig57Jz4hhBBCCCGEEEKckRSgzlGUNQqo/QgogPs634dBZ2B15mo25mz0Vmj1asqg1gCsO5iPy+2lS6VGJMGVT0JiP2je+8ztQ+Jh3Fy4+l+gN8Ge+fBud1jyMjgqvBOjEEIIIYQQQgghTkkKUOfoXApQTQObMrnrZN7q/xadIzt7KbL61T0hlGA/IwXlDjakFXivo14Pwh0/Qmjz2rXX6aH3Q/B/SyC+FzgrYMmLMLUHbPwcXA7vxSqEEEIIIYQQQogqpAB1jo6tAVXqKKXMUVbr141rP46rEq6q1QrxjYFBr6Nf60gAPlx2wHsd6fRV13GyFdXuddHttavk3TgTgppC0SH48X54pwv88SHYvTR1UAghhBBCCCGEEB5SgDpH/kZ/AowBQO3XgTpZib0Em9NWl2H5RESAGYDFu3Jwu93e7ayyFH6aDO9dXvsilKJAh1HwwFptWl5AtFaImvcovNEOfn0K8r1YPBNCCCGEEEIIIS5yUoA6D+cyDe+Yn/b/xJDvhzBu/jh25e+q69Dq1d39WgDgdKss3Hn2uTgrOj2kLIWSDFj47Nm91mTVpuVN2gLXvQ4hCWArhNVT4Z2u8PmNsOdXcLu8EbkQQgghhBBCCHHRkgLUeTg2DS+77OxHQIVZwnC4HezI28GYn8fw8p8vn9VUvoYkOshChL8JgE9WpXq3M6MfDHtbu79uBhxcfQ77sECPu+ChjXDLbO3KeaiwbwF8OVqbnrfybSjPr9PQhRBCCCGEEEKIi5UUoM7D+YyA6t2kNz+O+JFBCYNwq24+3/k5N/98M/sK9tV1mPXiynZaLjYc9OJC5Mck9oUut2n3f3oInJXnth+dHtpcC7d9Bw9ugJ4PgCUECg/Cgr/D621hzr2Qvr7OQhdCCCGEEEIIIS5GUoA6D8cKUOe6BlS0fzSv93+dDwZ+QLQ1mtTiVMb+MpZ5KfPqMsx6cU+/lgDYnG7W7M/zfodX/wv8IyF3Dyx/4/z3F94SrnkBpuyE4VMhthO4KmHzl/CfATDjWtj1C3h7jSshhBBCCCGEEOICJAWo8xDjHwOcewHqmN5NevPNsG+4LOYyKpwVHCo5VBfh1auWkQEE+xkA+HD5fu93aA2DwS9r95e/Djl1tI6WyQpdb4f/WwoTFkLHm0FnhLTV8PUt8P5lsH4WOBr/4vFCCCGEEEIIIUR9kQLUeTifKXgnC7OEMf3q6Tzf+3nuSr7rvPfnC32SIgHYkFZYPx22HwWtrwVzIBQdrtt9Kwo06wGjpsPkrdB7MpiDtRFXPz0EbyVrha+KephyKIQQQgghhBBCNHJSgDoPdVmAAtDr9IxoNQKdov1YVFXF1YiuyPbggCQACssdZBfXwwghRdEWJH9gLSQN9F4/QbFw9T/h4W0w6AUIagJlOfD7c/BGe5j/BBQ2vlFrQgghhBBCCCFEfZEC1Hk4VoDKq8jD4XbU6b5Ti1KZ+NtEZm6fWaf79aY2MYF0iQ8B4LftWfXTaWAM+EfUT1+WIOj1AEzaDCOnQ1R7cJTBmvfh7U7w3UTI2lo/sQghhBBCCCGEEI2IFKDOQ5glDIPOgIpKbnlune57a+5W/sj6g+mbp3O4pI6nl3nR4A7auljztmXWb8eqCtt/gJ8me78vvRE63Qz3roRbv9Ouyqe6YOs38MEV8On1sO93WbBcCCGEEEIIIYQ4SgpQ50Gn6IjyO78r4Z3K0BZDuTTmUmwuGy/88QKqqtbp/r3lyjZaPlbtz2f/kdL667gwDb6bAOtnwo659dOnomhT/8b9BP+3BDrcAIoODiyGz0fBWx1gwd8ha5tWIBNCCCGEEEIIIS5SUoA6T8em4dV1AUpRFJ6+/GmMOiMr0lew6cimOt2/tyRFB2IxaIfVu7/vq7+OQxO0hcIBfnkUKgrrr2+AuC5w4wx4aCNcere2YHlxOqx8Gz7oDe90gXl/g/2LwVlZv7EJIYQQQgghhBA+JgWo8xTtHw3U3ULkJ0oMTmRoi6EAfLnzyzrfv7dc1iIcgMW767Yod0Z9H4XwVlCaBQufrd++jwltDkNegUf2wOhPoe1Q0JugIAX+mAafXQ//ToDPRmnFqczNMlVPCCGEEEIIIcQFTwpQ56mur4R3srHtxgKw8OBCssvquaBzju7r3xKAogonuzKL669jo0W7Kh5oU/EOrqq/vmuK5ZIRcPMX8FgKjPkCutwOAdHgrID9v2vT86b3hVdbwrfjYf0nUJDqu5iFEEIIIYQQQggvkQLUeYq2aiOgvFUcahvWlq5RXXGqTr7f971X+qhrl7UIx2rSA/Duor3123nzK6DrHdr9nyY1jOlu5gBoNxRGTIW/7ob71sC1/4bW14IpACryYfscLd63O2m3nybB3gXgtPs6eiGEEEIIIYQQ4rwZfB1AY+cpQNXxGlAnuqfTPWSXZzM4cbDX+qhrvVqGs3BnDsv21O3VAWvl6udg93zI3QN75msjkRoKRYGodtrt8nvB5YD09XBgiXY7vFYbBbX+E+1mDobW12gLnLe6SrsCnxBCCCGEEEII0chIAeo8eXsKHkDPuJ5e27e33H9lKxbuzKGk0smWw4V0bBpSf537hcKI90Cn14o2DZneCPGXa7f+f4PKEm3q4J5fYdfPUJoNW7/RbtZwaD8SkkdDs0u1YpYQQgghhBBCCNEINIopeO+//z6JiYlYLBa6devG8uXLT9n2+++/5+qrryYyMpKgoCB69uzJr7/+6rXYTixAqarqtX6OcavueunnfHWJDyXC3wTAkt1H6j+A1oMafvGpJuZAbcTT0Ddgyi6481e47F7wj4LyPFj7EcwYBO90hkXPw5E9vo5YCCGEEEIIIYQ4owZfgJo9ezaTJ0/mqaeeYuPGjfTp04fBgweTlpZWY/tly5Zx9dVX88svv7B+/XquvPJKhg0bxsaNG70S37EClN1tp7Cy0Ct9HPPN7m8Y/sNwtuRu8Wo/deWBAa0AWLzbe6PDaqUoHfb85tsYzoVOp42MGvxvmLITbvsOOt4MRn9tmt6yV+G9HjC9H6x+D0qyfB2xEEIIIYQQQghRowZfgHrjjTeYMGECd911F+3ateOtt96iWbNmTJs2rcb2b731Fo899hg9evQgKSmJF198kaSkJH766SevxGfSmwizhAHenYYHsPnIZg4WH+Tb3d96tZ+6MiQ5FkWBjWmFHMov900Q2dvhvcvgv3dqhajGSm+AVgNh1HR4dC/c8DEkXQM6A2Rugl+fhDfawacjYNOXYKvHqw8KIYQQQgghhBBn0KALUHa7nfXr1zNo0KAq2wcNGsSqVatqtQ+3201JSQlhYWHeCBE4PgrKmwuRA9zU+iYAfk39lWJ7wy8wRAVZ6JGg5f3VX3f7JojIthDVFuwl8Msj0AimL56RyR+Sb4Rbv9GuqjfkNWh6KahubSHzH+6FV1vBZyNh1btaEe5CeN9CCCGEEEIIIRqtBr0IeW5uLi6Xi+jo6Crbo6Ojycqq3XSj119/nbKyMkaPHn3KNpWVlVRWVnoeFxdrxR23243b7T5jH1F+UexiF1mlWbVqf66Sw5NpFdKKfYX7mLtvLmPbjvVaX3UlPtyPP1Nh3rZMnM5kdLpT1zzdbm19q7rNoQJD30L5sD/K7l9wb/+hYV0V73z5hUH3CdqtIBW2/hdl6zcoeXth/yLtBqgBMdDyStQWV0KL/uAf6dmFd/IuakNy7xuSd9+QvPuG5N13JPe+IXnnon7vQoiGrUEXoI5RTrral6qq1bbV5KuvvuLZZ5/lxx9/JCoq6pTtXnrpJf75z39W215QUFCrD/BgfTAAB/MPkp+ff8b252NIkyG8U/gOs3fO5prIa2qVB1/6S/dI/rs+HYdL5YuV+7iufcQp2x4braaq6mkLVWfNEIO1291Y106FXx6lIKQjqiW47vbfYARBhzuh/V/QF+zDmLYC06HlGNP/QCnNgs1foWz+CgBnxCXY46/A0ewKKqO7UlJhr/u8izPy2jEvTkvy7huSd9+QvPuO5N43JO9QUlLi6xCEEKJGDboAFRERgV6vrzbaKScnp9qoqJPNnj2bCRMm8O233zJw4MDTtn3iiSeYMmWK53FxcTHNmjUjNDSUkJCQM8YZHxoPaVDgKvDqVD+AmwJu4sNdH5JamkqaK40uUV282t/5CguDuOBdZBTZ+HpjDrf3aX3Ktm63G0VRCA0NrfsThqufQj3wK7q8vYStewN1+Lt1u/+GJjwcWl0G/BXVaUNN+wPlgDYiSsnehiF3B4bcHbDhQ1SDHyFx3dG3uQal3TAIifd19BcNrx7z4pQk774hefcNybvvSO59Q/IOBkOD/oonhLiINehPJ5PJRLdu3ViwYAEjR470bF+wYAEjRpx6GtVXX33FnXfeyVdffcV11113xn7MZjNms7nadp1OV6v/uNqFtwNga+5Wr/9HF2IJ4drEa/lh3w98t/c7usV082p/dWF0j2a8tXAvu7JKsDndWE2nPuwURal13s+KyQrD34WZg1E2fY6SfAO0HFC3fTRUJiu0ulK78S8ozdHWitq/CPYvRinNwpS2HNKWw4KnIa6rNk2x42gIivN19Bc8rx3z4rQk774hefcNybvvSO5942LP+8X6voUQDV+DLkABTJkyhdtvv53u3bvTs2dPPvzwQ9LS0rjnnnsAbfRSeno6n376KaAVn+644w7efvttLr/8cs/oKT8/P4KDvTPtqnNUZwBSi1PJt+V7rornLaNbj6bcUc7IpJFnbtwA3NO3BW//vhdVhelL9/Pw1W18E0hCT+j1gLYgd3wv38TQEAREacWljqNBVXFnb6d86//wP7wMJW0VZGzQbr//E5IGQZfbofU1oDf6OnIhhBBCCCGEEI1Ugy9AjRkzhry8PJ577jkyMzPp0KEDv/zyCwkJCQBkZmaSlpbmaT99+nScTif3338/999/v2f7uHHj+OSTT7wSY7A52LM4+MacjVwVf5VX+jkmOTKZ1/u/7tU+6pLFZKBdTCA7Mkv4dt1h3xWgAK7+FzTwdbPqlaJA1CXYusRgvepRlPJc2PkTbP0W0lbDnvnazT8KOt8CXe6AiFa+jloIIYQQQgghRCPT4AtQAPfddx/33Xdfjc+dXFRasmSJ9wOqQZeoLloBKtv7BajGaGKfljz8zSYyi20UVdgJ9jP5JpATi08uJ+Ttg6i2vomlIQqIgh4TtFvuXtj4GWz6EspyYOXb2i2+F3T/C7QbDkaLryMWQgghhBBCCNEIyAThOnJsMfCNORvrrc+ssixeWPMC3+z+pt76PFcjOseSEG5FVWH+tqwzv8DbSnNg5mCYeS2UNIB4GqKIJLj6OZiyE8Z8AUnXgKKDtFXw/UR4ox38+pRWqBJCCCGEEEIIIU5DClB15FgBakf+DiqcFfXS57LDy/h699dM3zydSldlvfR5rnQ6HTf30K6u9s26wz6OBvALBVclVBTA3Ie0daFEzfRGaDcUbv0GHt4O/Z+EoKZQkQ+rp8LU7vDJUNj6X7CX+zpaIYQQQgghhBANkBSg6kiTgCZE+UXhdDvZlrutXvq8vtX1RFujyanI4fu939dLn+fjhm5N0OsU1h8s4I8Deb4NRm+EkdNBb4K9v8LGz30bT2MRFAf9H4fJW2DsN9B6sDYqKnU5fDcBXkuCOffAvoXaFEchhBBCCCGEEAIpQNUZRVHoEl2/0/BMehMTkycC8PHWj7G77PXS77mKCrTQMtIfgOd+3uHjaICodjDgae3+/Ceg4KBv42lMdHrtynhjv4bJW6Hf3yAkHuylsPkr+PwGeL0N/PIoHPpTRpgJIYQQQgghxEVOClB16Ng0vA05G+qtz5FJI4m2RpNdnt0oRkEN7hADwI6MYkpsDh9HA/R8AJpdDvYS+PF+cLt8HVHjE9wUrnwCJm2BO3+DHhPBGg7lufDnh/Dx1fBWR/jtGcjYKMUoIYQQQgghhLgISQGqDnWN6grA5pzNuOqpkGHSm5iQPAGAN9e/yb6CffXS77m6r38rdAqowJsL9vg6HG0kz8hpYPTXppGtesfXETVeigLxl8F1r8Ffd8Ot30HHm8EUAEVpWm4/7A/vdIGF/4TMLVKMEkIIIYQQQoiLhBSg6lBSaBJWg5VSRyn7CuuvEHRj6xu5NOZSyp3lvLvx3Xrr91yYjXq6J4QC8P2GdB9Hc1RYCxjyCkQnQ5vrfB3NhUFvhKSBMGo6PLoPRn8K7UeC0QoFKbDiDZjeB6b2gBVvaVclFEIIIYQQQghxwZICVB0y6Ax0iuwE1N86UABGnZHX+r3GLW1v4aU+L9Vbv+fqkWvaAFBY4fD9YuTHdL4VJi6CyNa+juTCY/SDS0bATZ9oxagbZ0K7YWCwQN5eWPgPeKMdfH0r7PlNpkEKIYQQQgghxAVIClB17NhC5PW5DhRAqCWUJy97EqvRCkCxvZgKZ0W9xlBblyaGE2I1AvDqr7t9HM1RigIG0/HHOTtlepg3mPyhwygY87lWjBr+LjTtAW4n7PoZvrwJ3uwAi56HwkO+jlYIIYQQQgghRB2RAlQdO7YOVH2OgKrJW+vfYticYfy0/yfcqtunsdTkhq5NAdiQVoDN3sBGvCx7Fab1grUf+TqSC5s5ELreAXcthHtXw+X3gV8olGRoP4O3O8Hs2yF1pRQDhRBCCCGEEKKRkwJUHUuOSEav6MkqyyKzNNMnMdicNlZnrCa7PJsnVzzJjT/dyHub3mNTzqZ6Wxz9TP46qDUBZj1uFeZvz/J1OFUZ/EB1w/wn4PA6X0dzcYi+BK59SVu8/MaZ0LwPqC7YORc+GQIf9IENn4GjYY7qE0IIIYQQQghxelKAqmNWo5W2YW0B342CshgszBkxh0ldJ+Fv9GdvwV4+2PwBt8+7nf7f9GfW9lk+ietEVpOBu/u2BOCTVam+DeZkPe+HdsPB7YBv7oCyXF9HdPEwmLUpeuN/hntXQbfxWkEweyvMfQDeuAQWPgtFh30dqRBCCCGEEEKIsyAFKC/oEuWbdaBOZDFYuCv5LuaNmsdzvZ7jmubXEGgKpLCyEAXFZ3Gd6JbL4jHpdWw6VMja1Hxfh3OcosCI9yC8FRSnw3d3ycLYvhDdHoa9DVN2wNX/guB4qMiHFW/CWx214mDqCpmeJ4QQQgghhBCNgBSgvKBrdMNYBwq0xclHJo3ktX6vsWzMMqYOmMqIViM8z28+spmf9v/kk9giAsz0bBkGwJTZm3wSwylZgmD0Z2C0woHFsOhfvo7o4mUNg94PwaRNMOaL49PzdvwIn1wH73SBpa9AYZqvIxVCCCGEEEIIcQpSgPKCYyOg9hbspdhe7ONojjPoDPRr1o9gczAAhbZCpiyZwpMrnuT5Nc9jd9nrPaZhHeMAOFRQwa7MhpMrQFuXaPi72v0Vb8Lh9b6N52Kn00O7oVWn55kCoCAFFr8AbyXDJ0Nh01dgL/N1tEIIIYQQQgghTiAFKC+I8IugWWAzVFQ252z2dTinFGgKZFTSKBQUZu+ezd0L7sbmtNVrDDd2b4bVpAfguZ931mvftZJ8I/R9DK57A5p283U04phj0/Me2QMjp0NiP0CB1OXwwz3wWmv4/v9gz6/grP/CqhBCCCGEEEKIqqQA5SXHRkE1hGl4p6LX6bm/8/28P/B9AowBrMtex1+X/hWH21GvcdzQtSkAf6bmU2xz1mvftTLgKegxwddRiJqY/KHTzTBuLkzeAlc+DWEtwF4KW2bDl6Ph9dYw9yE4sFTW8hJCCCGEEEIIH5EClJd0jWo460CdyRVNrmDqVVMx680sO7yMp1Y8hasev6g/fm1bdAq4VXhtUWq99XtOyvPhp0lga2DTBQWExEO/R+HBDTBhAVx2DwREQ0UBbJgFnw6H19vCL49B2h/gdvs6YiGEEEIIIYS4aEgByku6RGsjoLbmbsXhqt8RReeiW3Q33uj/BgbFwLyUeXy649N66zvAYuCqtlEA/LYrH7uzARcGvrkD1n8C39wuU7saKkWBZpfC4Jdhyk4Y95O2XpRfKJTlwJ/TYcYgeLsj/PYMZGySK+kJIYQQQgghhJdJAcpLEoMSCTGHUOmqZEf+Dl+HUyt9m/blxT4vcnns5YxuM7pe+35hZDIK4HSrvLFgT732fVYG/QuM/nBgCcx9QAoXDZ1OD4l9j64XtRfGfgsdbwZTIBQdglXvwIf94N1usOgFyN3r64iFEEIIIYQQ4oIkBSgvURSFzlGdAdiY3fCn4R0zOHEwH179If5G/3rtNyrIwoCjo6BW7stFbaiFnbguMPpTUPTaGkML/+HriERt6Y3QehCMmg6P7oXRn8El14PBD/L3w7JXYGp3+M9V8Od/tOmWQgghhBBCCCHqhBSgvKgxrQN1IkVRAFBVlf9s+Q//3fPfeun35RuSsRh0bM8sYcW+3Hrp85wkDYTh72r3V74Ny17zbTzi7Bn94JLhMHqWVowa9REkDdIKi+nr4JdHtCvpfX0r7PxZplsKIYQQQgghxHky+DqAC9mJV8JTVdVT2GksVqSv4J2N76CgUOYo445L7vDqewjzNzGyYxRfbcjivcX76JMU6bW+zluXW6E8DxY8A4v+BdYw6H6nr6MS58IcCB1v0m6lObD1v7D5K8jaArt+1m5+YdDhBuh0CzTpqq0zJYQQQgghhBCi1mQElBe1D2+P1WCloLKg0Y2CAu3qeLe2uxUVldfWvcY/V/8Th9u7C6rf2j0GnQJrDuTz+epUr/Z13no/BP2fgOBmkNjP19GIuhAQBT3vg3uWw72roNdDEBADFfmw9j/w0QBtvaiFz0L6elkDTAghhBBCCCFqSUZAeZFRb2RgwkDm7p/LTwd+omt0V1+HdFYUReHxHo/TJKAJr659le/2fsfhksP8s/c/aRLQxCt9xgSZaR7hz4EjZbz8627GXhaPTteA66T9HofL7tausHaBKKt0sDOzhP1HStmeXsz87VmU2Z3YnW6cLpUTSy5GvUJciB8hfkbC/E3kldmJDbLQLi6IQZdEc0lcsM/ex3mLbq8tOj/wWTiwGDZ/rU3Hy98PK97UboFx0PJKaNFfK0IGRvs6aiGEEEIIIYRokBS1wa727DvFxcUEBwdTUFBASEjIee1rTeYaJv42kUBTIItHL8asN9dNkPVs6aGlPLbsMcqd5RgUAw93e5g72t9Rp3243W7y8/M5WKpwwwdrAHj0mjbcf2WrOu3Hq3b9DwpSoef9vo6k1nKKK3h/4U5WHyzlYH4ZlQ43dfWhoFMgPMBMp6bB3NS9KYMuiWl0U1GrsBXD3t+0aXl7fgNHWdXnI9tBi35aMap5b7CcvgB37JgPCwtr2IXWC4zk3Tck774hefcdyb1vSN6Pf5cpKioiKCjI1+EIIYSHjIDysh7RPYiyRpFTnsPyw8sZmDDQ1yGdk37N+vHZkM94Ze0r/JH5B23C2nie23pkK2klabQJbUOzoGbnXWTrEh9K+7ggtmcUM3XRPu7t16JxnEDk7oNvx4PLDo5y6PuoryM6pUN55by+YA9L9+RQUF59WmV0kJnW0YG0iPCnsMJBVKCZ2GA/moT4EexnBLRlkBRAp1MoLHdwqKCcHzdlkFlUQUGZA7vLjVuFIyWVLNyZw8KdOUQGmunXOpIhyTH0aB5GoMVYz+/8PFmCIPlG7eawwcGVkLIUDiyBzC1wZKd2++MDUHQQ3QGaXwEJvSC+F/iH+/odCCGEEEIIIYRPyAioGtTlCCiAN9a/wcxtMxnQbABvD3j7/AP0sV35u2gT2sYzkuX5Nc8ze/dsABQU4gLiaBvWll5xvbiiyRXEBcTVar8n/sVq35EyBr25DIC7+7bgiSHtvPNm6pKqwtJXYMmL2uPL74NBL0ADKZ653SpL9xzh23WH+GVbVpXn9Aq0igqgZ8sIhneKo2vC+U8pzCm28b+tmSzbc4RNhwoprXTicFX9uGkW6setlyVw5xWJmAwNI0/nrDwfUpYdL0jlH6jeJrKdNjIqoRckXIHbP/Ki/yutL8hfx31D8u4bknffkdz7huRdRkAJIRouKUDVoK4LUHsL9jJq7igMOgOLb1pMiOX899mQzNo+i98O/saBwgOUOkqrPb/wxoVE+595bZyTTxhu+mAVa1MLMOl1bPvnNY2nQLHqXfjtae3+JdfDyOlgtPgsnMzCCl6at4tNhwpIy6/wbDcZdFzeIozbLo2nc5SeiIgIr56oVTpdrE8t4Lcd2fx3/SFKK12e5/SKNvLtb4Pb0r15mNdiqFfFmdoIqYOrtH+P7KrWRA1vhS2uJ+ZLrkXXop92RT7hdfLlxDck774hefcdyb1vSN6lACWEaLikAFWDui5AAdz0003syt/F05c9zZi2Y+pknw2Nqqrk2fJIKUphY85GVqavpNRRynfDv/O02Za7jbZhbTHoqs/+PPmE4VBBOX1fXowK3NevJY8NbluP7+Y8bfkWfrgX3A5t6tXNX4C1fgsr+4+U8ui3m9mQVujZFmQxcEO3pgzvFEenpsHodDqfnKg5nW5mrz/ErFWp7MmuWrSMCjTz9NB2DOsY17jXizpZWe7RYtQqOLgCsrbBiatt6QzQ7DJtUfOWAyC2M+j0vor2giZfTnxD8u4bknffkdz7huRdClBCiIZLClA18EYBatb2Wby27jU6RXbi8yGf18k+GwOH24FRp63zk2/L59rvriUhKIG/X/53kiOTq7St6YRhyuxNfL8xnYgAE4se6U9QY1ozKGUZfH0rVBbDoOeh14P10u2+7BL++u1mNh8u8mwz6hVuuTSevw1ui9VUtfjn6xO1onI7by7cy5yNhymqcHq2t4sN4r7+LRmSHItedwEVoo6pKMSduoLKHfOwpK9COXnKnl+YdnW9lgO0W7B3rjx5MfL1MX+xkrz7huTddyT3viF5lwKUEKLhkgJUDbxRgDpSfoSB/x2IW3Uz9/q5JAYn1sl+G5P12et5aNFDFNuLUVAY3WY0D3V9iCCT9h9jTScMdqeba99exoEjZdzZO5G/D7vEl2/h7GVvh3UzYfArXl8LqrDczgNfbmDFvjzPNotRx529E5kysDWGU0xhbEgnagt3ZPHZmoOsTS2g3K5N0bOa9FzbPoZ/jmjf+BYtP4MquS88CPsXabeUZVrh8kQRbaDVVVpRqmmPeh9RdyFpSMf8xUTy7huSd9+R3PuG5F0KUEKIhksKUDXwRgEK4MHfH2TJ4SUMSRzCy31frrP9NiZ5FXm8vu51fjrwEwBhljAe7PIgI1uNREGp8YRh2Z4j3DHjT3QKfDyuB1e2jfJV+OfPUQGbv4Ku4+usIOV2q3y34TCvzN/FkVI7oBWe7u7bgklXJZ3x5KshnqgVlNmZtTqV/yw/QNnRtaJ0ClzVNooXRiYTFeS7NbXq0ilz73JC+rrjBan09aC6q744NBGadIPoS7TFzSPbQGhzmbZXCw3xmL8YSN59Q/LuO5J735C8SwFKCNFwSQGqBt4qQO3M28non0ejoPDtsG9pE9amzvbd2PyR+Qcv/PECKUUpAHSM6MjMa2ZSXFhc4wnD0HeWsy2jmGA/AxufubpxnlCoKnz/f7D1G2hxJYz6DwREntcu52/L5MNlBzzrPEUEmBjcIZZ/DL3klCOeTtaQT9Ryim08OWcri3bl4D76SaUAV7WL4rWbOhFiNfk0vvNV69xXFMCBpbD/d20Nqbx9NbfTmyGiNUS11f4Nb3X035Zg9PPOm2iEGvIxfyGTvPuG5N13JPe+IXmXApQQouGSAlQNvFWAAnhk6SP8mvor/Zr2Y+pVU+t0342Nw+3g611fM23TNEYmjeSv3f5Kfn4+IaEhZJRl0DSwKTpFO3H440AeYz5cA8CdvZvz92HtfRn6udv0Jfw8BZwVEBgLN3wMzXuf9W4yCyu469N1bM/QpmlZTXoeuiqJv/RujtlwdiNgGsOJWonNwd9/3M5PmzNwHq1E6RSYPDCJe/u3wqhvmHGfyTnnvqIA0jdAxkY4slu7wl7uHnDaTvECBYKbQUQrbSpfbCftFtEa9NUvCHChawzH/IVI8u4bknffkdz7huRdClBCiIZLClA18GYBKrUolet/vB6X6uLTwZ/SJapLne6/Mcq35WPSmbAarOTn57PPvo+JCyZi1ptpHtScpoFNMelNrNpXyJFiF86Cy/j1vltoFR1Iga2AlKIUkkKTCDQ1kkvYZ++Ab8dpBQMUuGIy9H8SDGcezeN2u3nu5518ujrVMyKoaYgf39zTk7iQcxvh0phO1Gx2J0/9sI0fNqbjOvr+48OsPHx1EsM7NWl0i5XXae7dLig8qBWkcnZC7l7I26sdZ7aiml9j8IOYDscLUnFdIbLtBV+UakzH/IVE8u4bknffkdz7huRdClBCiIZLClA18GYBCuDZVc/y3d7v6BbdjZnXzLywLjV/Ho6dMHyX/h3Tt0zH4XbU2K780B1E6ruy+m8DmJcyj8eXPw5Aq5BWXNfiOoYkDiEuIK4+Qz97laUw7zHY9IX2OKYj3PSJNlXqFNbsz+Oez9dTWKHlxaBTmDwwiQcGJJ1XKI3xRK24wsF/lh/gqz/TyD267pXVpGdcz+Y8ek3rRvM+6iX3qgpluUeLUXu14lTmZsjaAvbS6u2N1uPFqCZdtXWmQpvDBfQ51RiP+QuB5N03JO++I7n3Dcm7FKCEEA2XFKBq4O0CVFZZFtd9fx12t51pA6dxRZMr6ryPxujEEwY3bjJKMzhQdICssiwcbgcOt4Mth/P5cWUkqiOC8b2a0/mSvUzdOJXs8uwq++oR04Nb295K/2b90TfkRZl3/Ag/TQJFB/euhsDoak3cbpVH/7uZ7zake7b1bBHOB7d1JbgO1kBqzCdq5XYnM1em8s7ve6l0aot0+5v0PHJNG/7Su+FfadKnuXe7If8AZG7SClKZmyBjU/Wr7wH4hWnFqLiuENdFW/A8JKHRjpRqzMd8YyZ59w3Ju+9I7n1D8i4FKCFEwyUFqBp4uwAF8OraV/l0x6e0C2vH10O/9qx1dDGr7QnDmOmr+SMlHwWYN7kPbWOCKLQVsujQIn4+8DPrstahoh3WP474kRYhLerpHZyjkizIT4GEntpjVdXW9Ilqx/4jpTz+3y2sO1gAQJDFwPu3duWKpPNbvPxEF8KJ2qGCciZ/vZH1Bws928L8Tfxz+CUM69TEd4GdQYPIvdsNrkptkXK3G7K3wboZ2tS9ghTt+Dz5CnwAOgOENNdeaw0DawQERIF/pHYzB2oj+hL7Hn9NeT6Yg3xeuGoQeb8ISd59Q/LuO5J735C8SwFKCNFwSQGqBvVRgCqwFTD4+8GUOcp4td+rXNv8Wq/005jU9oSh3O6k278WUuFw0Tcpgk/+cim6E9b+ySrLYvbu2aSXpvNK31c82+elzKNLVBdi/GO8+j7O2/Yf4Ntx/BF+PfdnDyPX6Ye/Sc/tPRN45Oo2tb66XW1dSCdqOzKKmDx7E3uyj08taxrqx6d3XkqLyAAfRlazesu9vQz2LdRGPBWmQUk2lGRCabZ2634nDHlVa1ueD6+cZvSYJRicdm0h/TOxhkO7YRDWQltbavZt4LJr2wOitYJVQIz2b0xH6HjT8dfairUilhem/l1Ix3xjInn3Dcm770jufUPyLgUoIUTDJQWoGtRHAQpg2qZpvL/5fZoHNWfOiDkYdI1zOktdOZsThh2ZRYx8bxWVTjeTrkri4atbn7Z9dlk21353LSoq3aK70btJb3rH9SYpNKnBjT5L+eoREnf/B4BsNYSvIx7kxtvuo0mo1Sv9XYgnaiv2HuGx77aSUagVSQw6hbGXxfPggCQiA80+ju64Os19RQFkbdNGMGVtg7jOcOlE7bnSI/Baq1O/tt1wGPOZdt/lhC9u0EYqmYO0IpDRD3R6UPQQ3R7aDoXidG09qbUfQWkOlOdqi51XlgDn8N9K68Ew9mvtvqrCi3Ha1NTgpsdvQUf/jWyjTQk8RxfiMd8YSN59Q/LuO5J735C8SwFKCNFwSQGqBvVVgCpzlDH4u8EUVBbwbM9nuaH1DV7rqzE42xOG7zccZso3mwF4YnBb7u536gW89xXs46U/X+LPrD+rbDcoBiKtkdzX+T6ub3U9ADvzdvLepvdQUEABo85IhF8EMf4xRFuj6RzVmSYBdT+tq9zuZOKsdazcn0dP3XZeMHxMC12W9mSLK2HQ89oVy+rYhXyi9uOmdD5fk8ba1HwALEYdyU2CeevmzjQJ8U5B72ycV+4dFbD8da3YlLUVig9Xfb7NELjlK+2+qsKsYRAYoy0oHhir3Q+MOT4CSW+sk/eE2wXFGdoV+QpSoeAg5O3TppUe2QOqs+bX+YVB8yu0wllEa2201Km0vhbGzq763qxhEBKvrU0Vmqi9z5BmYKhecLyQj/mGTPLuG5J335Hc+4bkXQpQQoiG6+IecuNj/kZ/7kq+i1fXvcq0zdMY2nIoZn3DGZ3R0I3q2pRV+3L574Z0Xpq3i0viguhzirWRWoW24uNrPiatOI0V6StYkb6CtVlrsblsZJZlasWmo/Jt+Sw9vPSU/T7Q+QHu7nQ3ABXOCnIrcmkW2Oy83svczek89u0WbEcX0t7r14Wy25fCgY9h5VtwYDFM7wMDnoY+fz2vvi4mIzo3YUTnJqzan8vL83ez+VAha1MLuOLfi7mqXRSv39SpThZy9xp7mTbKKGuLVmjyj4Qrn9Ce05thzbSqV7ILiYfoZK1Q2fTS49sVBcb/XD8x6/Ra4SekmVZQOpHLAXn74chOyNkFOTu091aQChX5sHOudjvGP1orJFnDtDWn3A5thFXcCaOfbEWQuvwUwSjQcQyMmn5805ZvIagJOoIhNAS4OL+cCCGEEEIIUd9kBFQN6msEFEClq5Khc4aSVZbF8JbDebDLgw1/jSIvOZe/WJXanFz+0u+UVjox6hV+m9yXxFqu9eN0O8mtyCW7PJsmAU2I8IsAtDWkVqavBEBFxe6yc6TiCNll2RwuPczkrpPpGq19Af794O9MXjKZxOBE+jTpQ9+mfeka1RVjLUeTVNhd3D7jD9alaouMK8Ctl8Xz3Ij2x3OQnwILn4UdP8AdP0KL/rXad21dLH8pVFWVl+fv5uMVB3C4tI89vQJDOsby4shkAi11NALoLNSY+5XvQMYGbVRT3n6qTGcLT4IH1x1/vOw1bYpcdAdtapxfSH2GX3cqCiBzy/Gr8WVu1kZNnYLDGIQjuDm2wHgqzFFUlORTXunAqFbi7yohwJFHoC0do6uC1BZjsQ96haggM0FqGbpXm3v2oxosKKGJ2mLp4a2geR9IGuj993uRulg+axoaybvvSO59Q/IuI6CEEA2XFKBqUJ8FKICf9v/EkyueBLQpYYOaD+L/Ov4fLUNOPaXsQnSuJww7MooY+u4K3Cr4GfUs+ms/YkP8vBjpcTO3zeSdDe/gPGFakb/Rn8tiLqNteFtGtx5NuF94ja9dsTeXJ+dsJS2/HICYIDOf/OVS2sae4kQhZydEtTv+eO1HYLBAx5vP66piF9uJms3u5OkftvP9xsO4j3766RQY2jGWV27shMWo924ATrt2hbmsrahZW7GVFmAe9d7x3E+7ArK3Hm/vHwUxR0c1xXaCDhfeVF270822jCIqHW7S8stIyy9n/e40/At30sq5j5ZqGvFKNglKNrFKfq32eUQNJFcNIVcN5qAaTYoaQxEB3GZYRASFxJKLXqn639/e+DGYr3+TZqFWFHspfDJUK0x5bi21myXYG2m44F1snzUNheTddyT3viF5lwKUEKLhkgJUDeq7AAWw/PByPtn+iWeNIqvByvsD36dbdLd66b8hOJ8ThoU7spj46XpUINBiYOkjVxIWUD9Tq0rsJazKWMWyw8tYkb6CfNvxL8iLblpEpFWbFvj8muf55cAv6BQD5ZVuKp0qoEOv6Ag0m/j5xm8ItYQC2jpUebY8OoR3IMQSUkOn2fBuV236VWgi9HsMkkefUyHqYj1RKyq388ScrczfluUpREUGmrm7bwtuvSwBP1MdFqI2fQkpy7RpdEd2aVPJjlL1JtS/HUZnPDr9dt0M7QpwMR206XSB0XUXh4+V2pws23OEVftz2ZpRxKH8CkpsDs+ItNqwUEmCkkMHvzxa6LOJIZ9gZy5h7jyiKSCSfEyK67T7cKh60tRIMtUICgigUjVgxMWv7h784r4ck0HHgKAMPiifUvMOAmKg1wPQ60HtscsJlcXaVEFxShfrZ42vSd59R3LvG5J3KUAJIRouKUDVwBcFqGN25O3glbWvsD57PX4GP6YOmMqlsZee+YUXgPM9YfhhYzqTZ28CINRqZPEj/Qmp5/V93Kqb7bnb2ZCzgbTiNJ6+/GmUo5eRf3Tpo8xPnX/K1y4bs8xTgHpu9XN8u+dbAJoGNKVrdFd6xPSgR0wPbQF0hw3W/gdWvKVdfQy0QlTfR7U1b86iEHWxn6iV2Bw89cM2/jyQT1axDYAgi4GOTYN5dlh7WkUHnnknbjfkH9BGLmVt06aP3fSJtvYSwOzbq65tZA6GmA6o0e0pDUjE//Lx6Ey+XxS9LpXanPyyNZNim4Nt6UXsyiphd1bJaa+P1yTEj1ZRAcSHWXG5VRxuN7FBFpqGWUkIs9Iyyp+IAMvpO3a7tfWkijOgJAtKMqDwEK7cvbiP7EVXcAC9y1bjS52qjhQ1lt1qUw66o1Fwo1dUgikjUZdFopJFlFIIwCcBd2HtP5lLm4cR7ziAbvoVEBCtXaEvsp32b1Q7iGwrhamjLvbPGl+RvPuO5N43JO9SgBJCNFxSgKqBLwtQADanjcmLJ7MyYyVmvZlX+75K36Z90eu8PDXIx+rihOHz1ak8/eN2ANrHBfHJXy4lMtD3C7v/vDmDJ35cQ5mzCBQ3Rj38dVASvVqF4VJdqKpK+4j2GHXaOkRTN05lfup8DhYfrLavOP84vhv+HQGmALCXof75Ecqqd6oWokZ+APGX1yo2OVHT2J1u5mw8zNTF+ziUX+HZnhhh5dFBbRnSMbbqC/b8Brt/gextkL0dHOVVn5+0BUITtPvbf9BGPsUka+s1hcSDolxQud+TXcIPG9NZuT+X/TlllFae4mp3QIDZQFyIhbYxQSQ3CaJLfCgdm4ZgMtRDDtxu3EWHKEnZSKA9C13ubm16a84ObUHzGlRiJMMdTroaTo4aSiVG9qlx7FCbk6mG0d2UxmvK26fu85oXoef92v3yfK2vyHbgX/P03AvVhXS8NyaSd9+R3PuG5F0KUEKIhksKUDXwdQEKtMXJpyyZwrLDywDwM/hxSfgldIzsyOUxl9M1uisWwxlGAjQydXXCMGtVKq/9tpsSm5MmIX7M/EsPWtdmFIsX7Mku4f4vNrA35/iVynq3DGf67d0JsJx5lFJRZRHbcrexPns9a7PWsi13G00Cm/DzyONXNLvr17vIKc+imdNNcF4KgQ4b/t0moPMLIcwSxti2t3hG4nyz+xsKbAUoioKCgsVgIdgUjMFuICEqgfYR7es+CY2M3eniuZ928N2GdPwd+STrDtBeSaWj8RC7uj7LPUMu0wolC/6hXaHwGIMFoi7Rps7FdNTWajrDyJfGepLscqvszSlh/cEC5m7KYP3BApzu6v+VKECnpsFc1S6aS+KCaBkVQHyon8/fa415V1UoydSKQ9k7jheljuwGZ8XpdwgUqxaK1ABsmFBRMOMgWCkjRCnjp8j/o+XVE0lq0RLj3l9g9m3ai6wRR0dJtdFGSkW2hdiOF+waU431eG/sJO++I7n3Dcm7FKCEEA2XFKBq0BAKUAAOl4MX/niBeSnzKHdWHV1h0pnoFt2NnnE96RXXi9ahrQHIt+VzqOQQVqOVlsEtq4yasjltlDpKPVd7a2jq8oQhJbeMOz9ZS0puGRaDjhu7Na16ZTkvK6pw8OaCPXyyKtWzLS7Ywrtju9ItIfSc91vuKCerLIsWIS082/p83YfCysIa27cIbsGPjlCwhMDl9zJi5WMcKDpQY9tIv0gWjV7keTxp0STSStIINgcTbArW/jUHE2AMINQSyug2oz1td+TtwOV2EWLRil5Wg9Uz9bBRydkJu/4HGRtRMzagFGdUefo2+xOs13fm//q24NboNKJyVmgjmmKSIazlWa/B1VhOkjMLK5izKZ1le46wO6sEm8NFhcNdrZ1Jr6NZmB/dEkK5LjmWPkkRDfJ9nVXe3S4oOgRFh6Hw0NH7hzz31eJMFEdZrfotVf0o0wcSrBZjUWueBsiNM6HDKO1+9nZIXXG8OBUQdXxaZyPUWI73C43k3Xck974heZcClBCi4ZICVA0aSgHqGJfbRUpRCltzt7I+ez2rM1eTU55TpU2oORSH20Gp4/hIGz+DH+3C2hFsDmZ/4X4OlRxCRaVVSCuuTriaq+KvIsY/BrPejFlv9nnBoK5PGArK7Iz9aA07M0sAiAgw8clfLqVDE++NLkgvrOC/6w7z8YoDFNu0KUh+Rj2PXduGv/ROrPP+VFUluzybA4UHyCzLpNheTIm9hFJHKW7VTQR67pn/b0/791p05khkEmpQHG5UbE4bBbYCcstzifSP5D+D/uNpO/yH4aQUpdTYb7Q1moU3LfQ8vvV/t7Ild4vnsVlvJtY/lriAOJoFNuOpy57yHF8l9hL8jf7olHP7Gauqikt14VbdmPTnuMaXrQgyNkHGRmg7FCJaadvXfwI/TTqhoQKRbcgPasvc7HA+zkvmkBrlebZbfCjx4VYeGNCKlpEBZx1GQzxJVlWV7RlFfPlHGmtTC0jLL6fSWb3YZDXp6RIfQoe4YPzNBkZ2bkKz8MaxjlWd572y5Oh6U5lQkoW7OIPsw6nkZ6dBSRZhrhyi1Vx0p1kBy4keFB2Fkd0JS+yMLjQBMrfA5i+PN/IL1QpRx67Ilzwagpucf/z1pCEe7+dLVVVsDhc2h9vz03WrKkUVDo79j6qg1Q2PfQaajTpCrSZMel29/L97Iea9sZDc+4bkXQpQQoiGSwpQNWhoBaiTqapKSlEKqzJWsSpjFeuy11FxdIqIgkK0fzQl9hLKavlX+WOOFaLMejMx/jF0jOxIp8hOtAtrR5Q1CqvRu18uvXHCUG53MnHWOlbuz/Nsu6ptFC+NSiYqqO6mMP6+M5t/z9tVZapdUlQA913ZkhGd4nx3AqSqcHAVrHlfG9lz7CtSUBPocht0vQN3YFyNed9TsIe8ijyK7EUUVxZTVFlEUWURpY5SAowBPNLjEU/byYsnsyNvBwW2AmwnLfAc6x/Lbzf+5nk8bt44tuVuIy4gjkhrJAHGAAKMAVgMFkLMITzU9SFP26dXPM2+wn2UOkoptZdS6iil0lUJQJQ1it9v+t3TdsqSKaQWp+Jv8OdIxRHiA+O5LPYyIk3BRJQX0stWqRWcMjZC3j6KdQppBiPtB76IculEbSc5u2DZqxDXBZp01UY2mY9P3ywst7NgRzY/bspg5f5cTvz0DLUa6ZMUyV96N6dLfO1GuTWEk+SsIhs/b8ngUH45mUU2NqQVkFtqr9ZOr1OIDbbQuVkIwzrFclXbaAz6xnli74u8qw4bGam7OLR3K9u3byKw7CBxrgya67KJIw+dcvr/ilWgWqmi1UBtzTdLsLbwffY27Xc7JEErUIW3hPDW2ppjJj9vvbVaawjH+zEVdhfpBeVsPlzIkRI7eWWV5JfZKSx3UGxzUGJzEmwxEuhnoLjCSbHNwYEjZbhVFbeqoqqcdkH92lAUMOkV7E7VU6DSKdrvml6nYNTriAo006VZKIEWA4EWI7uzivG3GAizGgnzNxMRYKJpqJXmEf5EBphqzGtDyvvFRnLvG5J3KUAJIRquRlGAev/993n11VfJzMykffv2vPXWW/Tp0+eU7ZcuXcqUKVPYvn07cXFxPPbYY9xzzz217q+hF6BOZnfZ2ZW/C3+jP00Dm2LWm3GrblKLUtmau5UyRxktQlrQKqQVRp2RpYeXsuDgAtZkrKlWLDidAGMAMf4xdIrsRI+YHnSL7oZBZ6DYXkypvZSmgU0Js5z91Z6KKouYlzKPUnspgWograJbkRCcUG2qoFt1c6T8CC71+CXWTXoTZr0Zi8HiWcC7JvO2ZTJl9mYqHNprFeCyFmG8dlMnmoaeW2Ftd1YJby7YzdI9uZ79AsQGW/jb4LYM7RiHioussiysRitBpiAMurObolWn8lPgz/9oIyoqCrRtI6fjTh59VidqqqpS5iijyF6E1WD1XLnvmFJ7KRuyN7DpyCZPEevY8dIlugs3zr2RzLLMGvfdJKAJ8284fqXAm3++me1522tsG24JZ8mYJZ7Ht/x8C9vyttXYNtDlZlXaYS1+YESTWFKMRlDAoOgIMocQaArEoBgIMAXw+ZDPPa99de2r7CnYg8Vgwc/gh5/BD4vegtNp4M8DpezdfRl2QxrGkPXojHmgs6FTIFjXktHtBtMlIQw/ow4VlUtjLvWMeNiVv4ucshyKiosICAxAURRMOpPnmG4X3g6domND9gacbifJEclYDJbTXozgSPkRthzZwva87YSYQxgQP4CmgU09zxeW2/ltRzZLd+ewLb2YjKIKHK7q/wUYdQp+Jj0J4VZ6tQxnROcmXBLXeNYlsjltVLoqCTbXHHND+XLidLpZnZLH4m1pZKfuhKI0olzZxKhHaKocoYmSS1Mllwil+Pw7M1ohMAb8o7SpoooBgptCWCKEtdDu+0dq0/xM/uffXw28mXeXW6Wg3E56QQV/puRxuKCCrCIbuWWVFJQ5KLY5Kbc7MRl02J1uyu2uM++0kVGAyEAzYf4mQq0mDhWU42fUE+xnIMAIcWGBxARbiAv2IzHSnzYxQfib9Oc/CktVtamqbicoOjAcHZnqckBptrbd5dT+PXZD1Y634KOfT85KyNqq7QuV49X9o/cDorSCKmj7OrwWdHpQ9Nq/J963BGvH+rHYSnOOPq8DnUG76U1Ht3l3BFpD+ay52EjepQAlhGi4GnwBavbs2dx+++28//779O7dm+nTp/PRRx+xY8cO4uPjq7VPSUmhQ4cOTJw4kbvvvpuVK1dy33338dVXX3HDDTfUqs/GVoA6Hw63g0pnJZUu7WZz2bA5baQWpbL5yGY2HdnEgcIDtSpU6RQdPaJ7MKj5IDpEdMDusmNz2SiuLCazLJP00nQKbAU0C2xGq5BWRFmjmJ86n7n753pGcJ0o3BJO2/C2RFuj2V+4n70Fe6uthXWiKGsUl8deTs+4niSFJFFsL6bAVoBbdXNFkyswYOGpH7bx46aMKgsmd4kPYWC7aOJCLHRuGkJCuBWdTofNaeOnAz+xJmMN4ZYIgo1NcNvDWJV6gM1Ze3Abc8BlxVWRgKu8OaGWUEZeaiY5wc7+ov1syd3CjrwdVd5bkCmIpoFNSQxOpEVwC5JCkugQ0YFIa+RZ/uTOjqqqpBSnsC5rHSFGfy4vLiBo+4+oN3zM1uJUZm+fzd6slaiVxaiWIHSWEKICmxLjH0O0NZojFUdIKUohpSiFvIo8nKo2vVBBoUtUF65OuJqWIS09xc2Tp4geo6AQ5x9HiCUEf4M/IZYQOkR0AKDCWUGgMZAQSwjf7/0ep9uJzWXDoBgItYQSGxBL0wCtwJpbkUtOWSZUFJLkVmhTWsTKgl3MMlaiKgpROguFuLG7tZE8AW6VawzhXBLamoWufFYX7jllrix6C+8PfJ/d+btZmbGSVRmrcKvVp6ABGBQD/Zr14/e032t8/mR9jdPpkOCmVazCrF3T2Hxk8ynbPtD5Aebun0taSVq1Ps0GbaSiUWfE7rLTv1l//sz6k/TS9Gr7UdChYAKnFYfTTMWhO1CdoYCKMXQlhsDt6Axl6I2lWI0WIv0iSQxtSox/FK2CWxFhjSDEHIJJZ8JisBDmF4ZFrxXC9Ip2O/YF9kj5EbbnbWdn3k4cbgeJwYk0D2pOYnCidtXGWlBVFYfbQYWzgo05G5mfMp+U4hQ6RXaifXh7IvwiCDIFYTFYsOgtmA1aAVqPnj8y/2B+6nyWHF5ChbOC1qGt6R3Xmy5RXdApOhxuBwDdo7rjLHN6vpw43U6WHFpCemm6Z59Wg5VgczAh5hCCzcFE+EWcVQHZrbrZnrudJYeXsCt/F61CWmlF2KguBJpOfVEEh9PJ1zt+4c/0bZQWNWXdrjDsNgfBlBGsK8BiyiRQqSDU7SDcbSdKqaSpxUFzQz6lrmzWW20stiocNOroU17BjSWl9K6w4Qb2m4zsNpnQoRLqchPmctHM4STw5NMAg5/2hd9oBdWtfXE3WcEUAOYA0FtQdXpycePQQYzOik5vrF4QMAWCJUgbRWgOxG0M4GBpMXlWhTyc5DrKMBv96NOkD9H+0TUeC4XlDg4VlPPHgTwOFVSQWVhBTmklhWXaSKVyuwuDXqHC7qKGdfBPy6hXcLlVDHodJr0Os0GHn0mPv8lAgMVAiwh/uiZoo4/Meh2peWX4mw34mw0EHL0FWgwEmo0EW434mw3oFC1u9wkfGSd/ejhcLlwqVDrcVDic7Mspo7TSQVmli/JKJ2V2J2U2J2XlFegNOiKCAiipdFJZks/hfVtRnBXgcqBzO9CpDgyqEyNONqqtSFW1q3UmKFkM063GpDgw4cKI03MzKU7muK5ghTsZo17hUr90JjlmYFKcmBQXRsWNSXFj0qkYFRfbm48j8Ir/I8xqIrxkFwFfX49yrODkdsIJfxSi3+Nw5ZPa/SO74b1LT/0DuPx+uPZF7X7RYXjzNBfB6DYehh290mRFAbzc/NRtk2+CGz7S7jsr4fmoUzRUoN0wGPPZ8U1TL9WKUnoj6M1gMB+/H9cFrnzieNsFf9cKbwbz0bYm7WIUepM2ErHNtccLISW70CnK0bYm7d9jrzP6gV/Iqd+POGtSgJIClBCi4WrwBajLLruMrl27Mm3aNM+2du3acf311/PSSy9Va//4448zd+5cdu7c6dl2zz33sHnzZlavXl2rPi+mAlRtHBvxcqTiCGnFaazNWsufWX+yK38XAIGmQPwMfmSXZ59zH0mhSSSFJHG46DC5lblklmWi1jDBQa/oPV8Cj31RrandyawGK8NbDmdMmzGg6nlzyR+sObSfEnsh6CpQ9BWADtURjNsRjNGSjz54NYrh7KYx1sSoM3q++J5KtDWa5sHNMSgGdIoOq9FK58jO9IjpQauQVmzP286SQ0tYk7kGvaInNiCWWP9Y4gPjaR3ampYh2l+GN+RsYE3GGvYU7PF8iT42iiaj7PiC2npFT8fIjpTYS9hXuO+c3pdZZ6TyFO/LarDSNqwticGJxG/4koM4WG+xcNBY/Qu8SWdieKvhdI3qyozNH7DvpILL2bqhwslTLW+ivO9f+WDzB3y962tPwewYo2Lktktuo1+zfszZO4d5KfM8xarTCbOE0TKkJfkV+eTb8imo1EaS6RQdQxKHkFmWycGiwxRXVmB3l4CiHv2DvgkUJ4pScyELVYdZ74cbFy63HfcJX1n99P7YXBWo1b7G1rAbVUF1WdAZTn3VNlvWEPwCctH778GpFJ5xn7Xlb/CnzHnq3xejzojVYMVqtDLuknEkRyYT7hfOr6m/8vmOz3G6nZ4i+KkKfnVFr+jpE9OHh3s8zObczby36b0zfn7pFB0RlgiCzEGedcwCTYEEGAMINgcTaj4+EvBIxRE25GwgtyK3xv10juzMwISBXBV/FbH+sdjddkrsJfx+8Hdm7ZjFoZJDnvZ+Bj+Sw5NJK84kuyL9lMeB6taj6Goe1aN3WXDrHKhK9ecNqkqvChvXlJXTr7yc4FNUcQp1OtZbzGywmNllMrHHZKRQr43G83O7SXQ4SLI76GarpIfNRhOnyzNl0Akst/rxXWAAy/0suGsYddKqUkdbmwWrw4ziMGJ0WzA5wc8F/qgouNApLoyqC5feSYbZxiGLg0yTC1VRUXCjRyXEBSEuCHJBoKrQ3KHDoOgIVIyst+pxG41gMuI0GHDodTiPFsyiDYGMDW6L0e3C4LTzQclOSlyVuNwOnG4npaqDAredPNWBQ3UT51IxuZ0EuVyEu9y0cKnEqgoGFZyqm1JFxR8dMaqeBMWAQzGQYlDYYYCswGgKzVYKcONwlJFYfIQ2DhetHQ4iHJX4OypRXHbcqpuC9sPJCYym1FGKoyAFR+YmdEDY0X7DXC6OrYRXGZiA0xqJ0w2qrYiQkr3ascHxIphy9Gf5kbEjS8wRFJvLsKiVdNSlYVJV4pxOWtsdJNntNHM4MQFfOAfws7snZuwkKek8afySfJ2OLIOePL0eHWBWVYyqSpYxnoqwtugMOozuckKzVuJWdJiBWDdEqwoGnZ4yRSE1oQeHmnWlAnA6bTi2fUu4qtDSBQluPUadTit+okCHUahXPkW+LZ8jBftxzvk/XKobVXUT6HIR5nIR7HKic7ug/UgY9pY2+qmyGP5d/Y+VxzgT+1LWZwoV9hLK7SXo5z5EoNtNoNtNtTHVcV2g/5PHH8++DberkmJFwaZTsCk6dIDJ7UYX2QbjNS+iuhWKSsqJ+vU+LLZCTh6/qgJ5AS05MOgTKt0qdpebNovGYa7Mx64zYMeAQzFSiQGHTk+OPpJtSfdpf4jARPt9szBXFuBAjxMDLvQ4FT0u9JThT0H8Neh1gOrCL3s97ooS3Ed/W1yKHlXR49IZcCom/Jp0wGw0oCgKZfmZFFdUas8r2ohJVW/ArRhRdXpaxEZiNRtA0ZFbYien1K5NHdXr0el06HU6DHodOp2OllGBBFiM6HQ6Csud5Jc7Mep16PQ6DHo9BoP2szYYdMSEWLGajOh1OipdKjanikGnYDbo0RsNmPR6TAY9Rr0es9GAwVDzOmpSgJIClBCi4WrQBSi73Y7VauXbb79l5MiRnu2TJk1i06ZNLF26tNpr+vbtS5cuXXj77bc92+bMmcPo0aMpLy/HaKw+TauyspLKykrP46KiIuLj40lJSZEC1Gk4XA70Or1nMen0knSWHF7C4kOLySnPwaw3Y9KbCDAFEG2NJtYaS7AlmMOlh9lfuJ+M0gzah7XnpjY30TWqq/bX7sJCQkJCsLlsHCg6wJ6CPeRW5JIYlEjLkJbEB8VXGYWgqip2t50KZwV78vdoxbHsP8kpz/Fcta2wsrDKF7qz4bYH4yjugqKzYzDnYbIUEmQKI9zYhMvj26DXl7E5dzM783dic9mI8ouiaUBT4oPjaRfWjg5hHUgITsCtuimuLPbEcrDkIKnFqewp2ENqceppv3AbdAacbucpnwdtZJFe0VcrtJzIqDPSMaIjebY8UotTPdvNejM9I3syMLoz1uwd6NLX48zbwxG9QrbBQI5OT7jRn/h+TxEfGE+0JZzgD/rg53KQrdOzxN/CIquVdIOeSysq6W+J5dKxcz0LhCtTu6GUHQEgV6fjkMFArkFPjl7P4pBItumqFrECXG5uLa0gQdVh1+mwoZDnriArNJ6sSO1qj1H+UURt/QG96mZfYBh79SplwPjWY7gpeQLKCSecueW5bM3byu783ezM30mwOZi7OtxFfNDxLyX5Ffn8fuh3UotTSStOI6M0g6YBTbks9jK6RXdjbfZaPt/xOcWO6lOh+jXtx/91+D8SQ6ouMp9TlsMr615hVeaqKttVlx9upz+qyw9Q0FsyUXTVC3muijicRd1xFCej6EsxRf6OMaj6FEO3w4qzrA2u0na4Kpqj6GxHC6oKVnMlLZseoUDZSL6z+u+AUWckwhJBqCUUP4MfFc4KiiqLKHGU4HA5aBvWlkpXJcX2YnLKc85YpNMpOhICEzDqjOw5zSizs9EtshvXtbiOrXlbWXpoKfmV+adsG2gMZEjiEK5OuJrNRzbz7qZ36yQGHboqRcHasugtZxw9WtPvt4KCSW/C4XZU+2wINgWjqmqNxyIqoBpwlrbBXtAbQ+BWDEEb0Rm0GFRVAdVwvLHirl4UVUF7xwqgFXZU1BqLRlp1ValhcSqwuN2Eudw4FSjV6Sg/4XdSr6roAEUFlwIuaFBX99OpR8t8dRRToMtFhU6Hs5b7M6gq/m43xTodai1eYzi6IJXrpB+FeuK/5/hezG43bkVBUbVjwA3nlRuDqhLgdnuKl6eiU1XCXS7MqopNUSjR6bErnDYfOlVFUcF9tIkC6I5u1x29H+V0EuBWKdbpyNHrsZ1mHbtjx+mx4+HEn5/nxPls86CqGFQVVVFw1cXxpaqen7lBVdGjvW834Khh/8fiNqkq1qOxKCoU67XfeOWkhsrR0ZKRLjdGVFxoIylVtN9bVVE8BU43WiEyxO3GpKroVJUMo/GUi6UFud1EulyeePebjCiefrW+j90PcbmId7o9fe0wVz2XP7GLALebmBMunHHAaDjpuDne2upWiXW6PP2mmgxHfy6Kp61y9GuSn6rS9IRlHFKMBhyK7vgxoGqflwAWFZqfMM03xaTHpug9+1WOlgEVwKRCC7vL81yKUUeFTotZObpf3dFRhgZUkiqPv7dUk54ynR716Hm4oqrojp4H6ivcLHl8L4WFhQQHN54p9EKIC1+DLkBlZGTQpEkTVq5cSa9evTzbX3zxRWbNmsXu3burvaZ169aMHz+eJ588/leqVatW0bt3bzIyMoiNja32mmeffZZ//vOf3nkTQgghhBBCCFHPDh06RNOmTc/cUAgh6okPV0SuvZOH16qqetpFM2tqX9P2Y5544gmmTJnieVxYWEhCQgJpaWnyV4N6VFxcTLNmzTh06JAMF65Hknffkdz7huTdNyTvviF59x3JvW9I3rXvPiUlJcTFxfk6FCGEqKJBF6AiIiLQ6/VkZWVV2Z6Tk0N0dPUFSwFiYmJqbG8wGAgPD6/xNWazGbPZXG17cHDwRfsfly8FBQVJ3n1A8u47knvfkLz7huTdNyTvviO5942LPe/yR3QhREPUoFfmM5lMdOvWjQULFlTZvmDBgipT8k7Us2fPau1/++03unfvXuP6T0IIIYQQQgghhBDCuxp0AQpgypQpfPTRR8yYMYOdO3fy8MMPk5aWxj333ANo0+fuuOMOT/t77rmHgwcPMmXKFHbu3MmMGTP4+OOPeeSRR3z1FoQQQgghhBBCCCEuag16Ch7AmDFjyMvL47nnniMzM5MOHTrwyy+/kJCQAEBmZiZpaccv256YmMgvv/zCww8/zHvvvUdcXBzvvPMON9xwQ637NJvN/OMf/6hxWp7wHsm7b0jefUdy7xuSd9+QvPuG5N13JPe+IXkXQoiGq0FfBU8IIYQQQgghhBBCNH4NfgqeEEIIIYQQQgghhGjcpAAlhBBCCCGEEEIIIbxKClBCCCGEEEIIIYQQwqukACWEEEIIIYQQQgghvEoKUCd5//33SUxMxGKx0K1bN5YvX+7rkC4oL730Ej169CAwMJCoqCiuv/56du/eXaXN+PHjURSlyu3yyy/3UcQXhmeffbZaTmNiYjzPq6rKs88+S1xcHH5+fvTv35/t27f7MOILR/PmzavlXlEU7r//fkCO97qybNkyhg0bRlxcHIqi8MMPP1R5vjbHeGVlJQ8++CARERH4+/szfPhwDh8+XI/vovE5Xd4dDgePP/44ycnJ+Pv7ExcXxx133EFGRkaVffTv37/a78DNN99cz++k8TnTMV+bzxY55s/emfJe0+e9oii8+uqrnjZyzJ+92pw/yue8EEI0fFKAOsHs2bOZPHkyTz31FBs3bqRPnz4MHjyYtLQ0X4d2wVi6dCn3338/a9asYcGCBTidTgYNGkRZWVmVdtdeey2ZmZme2y+//OKjiC8c7du3r5LTrVu3ep575ZVXeOONN5g6dSpr164lJiaGq6++mpKSEh9GfGFYu3ZtlbwvWLAAgJtuusnTRo7381dWVkanTp2YOnVqjc/X5hifPHkyc+bM4euvv2bFihWUlpYydOhQXC5Xfb2NRud0eS8vL2fDhg0888wzbNiwge+//549e/YwfPjwam0nTpxY5Xdg+vTp9RF+o3amYx7O/Nkix/zZO1PeT8x3ZmYmM2bMQFEUbrjhhirt5Jg/O7U5f5TPeSGEaARU4XHppZeq99xzT5Vtbdu2Vf/2t7/5KKILX05OjgqoS5cu9WwbN26cOmLECN8FdQH6xz/+oXbq1KnG59xutxoTE6P++9//9myz2WxqcHCw+sEHH9RThBePSZMmqS1btlTdbreqqnK8ewOgzpkzx/O4Nsd4YWGhajQa1a+//trTJj09XdXpdOr8+fPrLfbG7OS81+TPP/9UAfXgwYOebf369VMnTZrk3eAucDXl/kyfLXLMn7/aHPMjRoxQBwwYUGWbHPPn7+TzR/mcF0KIxkFGQB1lt9tZv349gwYNqrJ90KBBrFq1ykdRXfiKiooACAsLq7J9yZIlREVF0bp1ayZOnEhOTo4vwrug7N27l7i4OBITE7n55ps5cOAAACkpKWRlZVU59s1mM/369ZNjv47Z7XY+//xz7rzzThRF8WyX4927anOMr1+/HofDUaVNXFwcHTp0kN+DOlRUVISiKISEhFTZ/sUXXxAREUH79u155JFHZPRlHTndZ4sc896XnZ3N//73PyZMmFDtOTnmz8/J54/yOS+EEI2DwdcBNBS5ubm4XC6io6OrbI+OjiYrK8tHUV3YVFVlypQpXHHFFXTo0MGzffDgwdx0000kJCSQkpLCM888w4ABA1i/fj1ms9mHETdel112GZ9++imtW7cmOzub559/nl69erF9+3bP8V3TsX/w4EFfhHvB+uGHHygsLGT8+PGebXK8e19tjvGsrCxMJhOhoaHV2sj/AXXDZrPxt7/9jbFjxxIUFOTZfuutt5KYmEhMTAzbtm3jiSeeYPPmzZ7pquLcnOmzRY5575s1axaBgYGMGjWqynY55s9PTeeP8jkvhBCNgxSgTnLiqATQ/pM7eZuoGw888ABbtmxhxYoVVbaPGTPGc79Dhw50796dhIQE/ve//1U7iRO1M3jwYM/95ORkevbsScuWLZk1a5ZnUVo59r3v448/ZvDgwcTFxXm2yfFef87lGJffg7rhcDi4+eabcbvdvP/++1Wemzhxoud+hw4dSEpKonv37mzYsIGuXbvWd6gXjHP9bJFjvu7MmDGDW2+9FYvFUmW7HPPn51TnjyCf80II0dDJFLyjIiIi0Ov11f4CkpOTU+2vKeL8Pfjgg8ydO5fFixfTtGnT07aNjY0lISGBvXv31lN0Fz5/f3+Sk5PZu3ev52p4cux718GDB1m4cCF33XXXadvJ8V73anOMx8TEYLfbKSgoOGUbcW4cDgejR48mJSWFBQsWVBn9VJOuXbtiNBrld6COnfzZIse8dy1fvpzdu3ef8TMf5Jg/G6c6f5TPeSGEaBykAHWUyWSiW7du1YY/L1iwgF69evkoqguPqqo88MADfP/99yxatIjExMQzviYvL49Dhw4RGxtbDxFeHCorK9m5cyexsbGeaQAnHvt2u52lS5fKsV+HZs6cSVRUFNddd91p28nxXvdqc4x369YNo9FYpU1mZibbtm2T34PzcKz4tHfvXhYuXEh4ePgZX7N9+3YcDof8DtSxkz9b5Jj3ro8//phu3brRqVOnM7aVY/7MznT+KJ/zQgjROMgUvBNMmTKF22+/ne7du9OzZ08+/PBD0tLSuOeee3wd2gXj/vvv58svv+THH38kMDDQ85eq4OBg/Pz8KC0t5dlnn+WGG24gNjaW1NRUnnzySSIiIhg5cqSPo2+8HnnkEYYNG0Z8fDw5OTk8//zzFBcXM27cOBRFYfLkybz44oskJSWRlJTEiy++iNVqZezYsb4O/YLgdruZOXMm48aNw2A4/rErx3vdKS0tZd++fZ7HKSkpbNq0ibCwMOLj4894jAcHBzNhwgT++te/Eh4eTlhYGI888gjJyckMHDjQV2+rwTtd3uPi4rjxxhvZsGEDP//8My6Xy/OZHxYWhslkYv/+/XzxxRcMGTKEiIgIduzYwV//+le6dOlC7969ffW2GoXT5T4sLOyMny1yzJ+bM33WABQXF/Ptt9/y+uuvV3u9HPPn5kznj7U5l5FjXgghGgAfXX2vwXrvvffUhIQE1WQyqV27dvVc3lXUDaDG28yZM1VVVdXy8nJ10KBBamRkpGo0GtX4+Hh13Lhxalpamm8Db+TGjBmjxsbGqkajUY2Li1NHjRqlbt++3fO82+1W//GPf6gxMTGq2WxW+/btq27dutWHEV9Yfv31VxVQd+/eXWW7HO91Z/HixTV+towbN05V1dod4xUVFeoDDzyghoWFqX5+furQoUPlZ3EGp8t7SkrKKT/zFy9erKqqqqalpal9+/ZVw8LCVJPJpLZs2VJ96KGH1Ly8PN++sUbgdLmv7WeLHPNn70yfNaqqqtOnT1f9/PzUwsLCaq+XY/7cnOn8UVXlc14IIRoDRVVV1Yv1LSGEEEIIIYQQQghxkZM1oIQQQgghhBBCCCGEV0kBSgghhBBCCCGEEEJ4lRSghBBCCCGEEEIIIYRXSQFKCCGEEEIIIYQQQniVFKCEEEIIIYQQQgghhFdJAUoIIYQQQgghhBBCeJUUoIQQQgghhBBCCCGEV0kBSgghhBBCCCGEEEJ4lRSghBBCCCGEEEIIIYRXSQFKCCGEEEIIIYQQQniVFKCEEEIIIYQQQgghhFdJAUoIIYQQQgghhBBCeJUUoIQQQgghhBBCCCGEV0kBSgghhBBCCCGEEEJ4lRSghBBCCCGEEEIIIYRXSQFKCCGEEEIIIYQQQniVFKCEEEKIemC322nVqhUrV66sl/7Gjx/P9ddfXy99edvUqVMZPny4r8MQQgghhBDnQQpQQgghztr48eNRFKXabd++fb4OrcH68MMPSUhIoHfv3r4O5ZxVVFRgtVrZtWtXvfY7ceJE1q5dy4oVK+q1XyGEEEIIUXekACWEEOKcXHvttWRmZla5JSYmVmtnt9t9EF3D8+6773LXXXf5OozzsmDBApo1a0bbtm3rtV+z2czYsWN5991367VfIYQQQghRd6QAJYQQ4pyYzWZiYmKq3PR6Pf379+eBBx5gypQpREREcPXVVwOwY8cOhgwZQkBAANHR0dx+++3k5uZ69ldWVsYdd9xBQEAAsbGxvP766/Tv35/Jkyd72iiKwg8//FAljpCQED755BPP4/T0dMaMGUNoaCjh4eGMGDGC1NRUz/PHpqa99tprxMbGEh4ezv3334/D4fC0qays5LHHHqNZs2aYzWaSkpL4+OOPUVWVVq1a8dprr1WJYdu2beh0Ovbv319jrjZs2MC+ffu47rrrqmw/fPgwN998M2FhYfj7+9O9e3f++OMPUlNT0el0rFu3rkr7d999l4SEBFRVBWD79u1cd911BAUFERgYSJ8+fU4Zg6qqvPLKK7Ro0QI/Pz86derEf//7X8/zBQUF3HrrrURGRuLn50dSUhIzZ86sso8ff/zRMxXu2WefpXPnzsyYMYP4+HgCAgK49957cblcvPLKK8TExBAVFcULL7xQZR+KojB9+nSGDh2K1WqlXbt2rF69mn379tG/f3/8/f3p2bNntfcxfPhwfvjhByoqKmp8f0IIIYQQomGTApQQQog6N2vWLAwGAytXrmT69OlkZmbSr18/OnfuzLp165g/fz7Z2dmMHj3a85pHH32UxYsXM2fOHH777TeWLFnC+vXrz6rf8vJyrrzySgICAli2bBkrVqwgICCAa6+9tspIrMWLF7N//34WL17MrFmz+OSTT6oUse644w6+/vpr3nnnHXbu3MkHH3xAQEAAiqJw5513VivMzJgxgz59+tCyZcsa41q2bBmtW7cmKCjIs620tJR+/fqRkZHB3Llz2bx5M4899hhut5vmzZszcODAav3MnDnTM/0xPT2dvn37YrFYWLRoEevXr+fOO+/E6XTWGMPTTz/NzJkzmTZtGtu3b+fhhx/mtttuY+nSpQA888wz7Nixg3nz5rFz506mTZtGRESE5/Vut5uff/6ZESNGeLbt37+fefPmMX/+fL766itmzJjBddddx+HDh1m6dCkvv/wyTz/9NGvWrKkSy7/+9S/uuOMONm3aRNu2bRk7dix33303TzzxhKfo9sADD1R5Tffu3XE4HPz55581vj8hhBBCCNHAqUIIIcRZGjdunKrX61V/f3/P7cYbb1RVVVX79eundu7cuUr7Z555Rh00aFCVbYcOHVIBdffu3WpJSYlqMpnUr7/+2vN8Xl6e6ufnp06aNMmzDVDnzJlTZT/BwcHqzJkzVVVV1Y8//lht06aN6na7Pc9XVlaqfn5+6q+//uqJPSEhQXU6nZ42N910kzpmzBhVVVV19+7dKqAuWLCgxveekZGh6vV69Y8//lBVVVXtdrsaGRmpfvLJJ6fM16RJk9QBAwZU2TZ9+nQ1MDBQzcvLq/E1s2fPVkNDQ1Wbzaaqqqpu2rRJVRRFTUlJUVVVVZ944gk1MTFRtdvtNb5+3Lhx6ogRI1RVVdXS0lLVYrGoq1atqtJmwoQJ6i233KKqqqoOGzZM/ctf/nLK97By5Uo1IiJCdblcqqqq6j/+8Q/VarWqxcXFnjbXXHON2rx5c08bVVXVNm3aqC+99JLnMaA+/fTTnserV69WAfXjjz/2bPvqq69Ui8VSLYbQ0NDT5lkIIYQQQjRcBp9Wv4QQQjRaV155JdOmTfM89vf399zv3r17lbbr169n8eLFBAQEVNvP/v37qaiowG6307NnT8/2sLAw2rRpc1YxrV+/nn379hEYGFhlu81mqzKlq3379uj1es/j2NhYtm7dCsCmTZvQ6/X069evxj5iY2O57rrrmDFjBpdeeik///wzNpuNm2666ZRxVVRUYLFYqmzbtGkTXbp0ISwsrMbXXH/99TzwwAPMmTOHm2++mRkzZnDllVfSvHlzz+v79OmD0Wg8dUKO2rFjBzabzTMd8hi73U6XLl0AuPfee7nhhhvYsGEDgwYN4vrrr6dXr16etj/++CNDhw5Fpzs+eLp58+ZVch0dHY1er6/SJjo6mpycnCr9duzYscrzAMnJyVW22Ww2iouLq4wa8/Pzo7y8/IzvVwghhBBCNDxSgBJCCHFO/P39adWq1SmfO5Hb7WbYsGG8/PLL1drGxsayd+/eWvWpKIpn/aNjTly7ye12061bN7744otqr42MjPTcP7looygKbrcb0IocZ3LXXXdx++238+abbzJz5kzGjBmD1Wo9ZfuIiAhPgeuYM/VjMpm4/fbbmTlzJqNGjeLLL7/krbfeqvXrT3Tsvf3vf/+jSZMmVZ4zm80ADB48mIMHD/K///2PhQsXctVVV3H//fd71ruaO3cuL730UpXX1pTH0+W2ptcpinLKbSe/Lj8/v8rPUQghhBBCNB6yBpQQQgiv69q1K9u3b6d58+a0atWqyu1YIctoNFZZK6igoIA9e/ZU2U9kZCSZmZmex3v37q0yIqZr167s3buXqKioav0EBwfXKtbk5GTcbrdnbaSaDBkyBH9/f6ZNm8a8efO48847T7vPLl26sGvXrirFs44dO7Jp0yby8/NP+bq77rqLhQsX8v777+NwOBg1alSV1y9fvrxKAe5ULrnkEsxmM2lpadXy0qxZM0+7yMhIxo8fz+eff85bb73Fhx9+CGh5Tk1NZdCgQWfsy1v279+PzWbzjNgSQgghhBCNixSghBBCeN39999Pfn4+t9xyC3/++ScHDhzgt99+484778TlchEQEMCECRN49NFH+f3339m2bRvjx4+vMpULYMCAAUydOpUNGzawbt067rnnniojZ2699VYiIiIYMWIEy5cvJyUlhaVLlzJp0iQOHz5cq1ibN2/OuHHjuPPOO/nhhx9ISUlhyZIlfPPNN542er2e8ePH88QTT9CqVasqUwdrcuWVV1JWVsb27ds922655RZiYmK4/vrrWblyJQcOHOC7775j9erVnjbt2rXj8ssv5/HHH+eWW26pMurpgQceoLi4mJtvvpl169axd+9ePvvsM3bv3l2t/8DAQB555BEefvhhZs2axf79+9m4cSPvvfces2bNAuDvf/87P/74I/v27WP79u38/PPPtGvXDtCm3w0cOPC0o7y8bfny5bRo0eKUC70LIYQQQoiGTQpQQgghvC4uLo6VK1ficrm45ppr6NChA5MmTSI4ONhTZHr11Vfp27cvw4cPZ+DAgVxxxRV069atyn5ef/11mjVrRt++fRk7diyPPPJIlaKI1Wpl2bJlxMfHM2rUKNq1a8edd95JRUVFlbWEzmTatGnceOON3HfffbRt25aJEydSVlZWpc2ECROw2+1nHP0EEB4ezqhRo6pMDTSZTPz2229ERUUxZMgQkpOT+fe//11lbarT9RMeHs6iRYs8V9Pr1q0b//nPf065JtS//vUv/v73v/PSSy/Rrl07rrnmGn766ScSExM98TzxxBN07NiRvn37otfr+frrrwGtAHXi1e984auvvmLixIk+jUEIIYQQQpw7RT15MQ0hhBCigejfvz+dO3eusvZRQ7Fy5Ur69+/P4cOHPQtpn87WrVsZOHBgjYukn84LL7zA119/XW0NqfqSm5tLbGwshw4dIiYmxicxbNu2jauuuoo9e/bUeiqlEEIIIYRoWGQElBBCCHEWKisr2bdvH8888wyjR4+uVfEJtLWlXnnlFVJTU2vVvrS0lLVr1/Luu+/y0EMPnUfE5yc/P5833njDZ8UngIyMDD799FMpPgkhhBBCNGIyAkoIIUSD1RBHQH3yySdMmDCBzp07M3fu3GpXlasr48eP56uvvuL666/nyy+/rDY1TwghhBBCiMZEClBCCCGEEEIIIYQQwqtkCp4QQgghhBBCCCGE8CopQAkhhBBCCCGEEEIIr5IClBBCCCGEEEIIIYTwKilACSGEEEIIIYQQQgivkgKUEEIIIYQQQgghhPAqKUAJIYQQQgghhBBCCK+SApQQQgghhBBCCCGE8CopQAkhhBBCCCGEEEIIr5IClBBCCCGEEEIIIYTwqv8HGs+KDhNHrysAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "geo_mtf = mtf.GeometricMTF(lens)\n",
    "geo_mtf.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "015e3dea-bed2-45b3-ac99-958a836786bd",
   "metadata": {},
   "source": [
    "To conclude, we have been able to construct a Cooke Triplet using simple off-the-shelf lenses. Together, these lenses could be mounted on cage systems from Thorlabs. The system seems to perform reasonably over a narrow field of view (about 5 degrees or less) and after this, it exhibits noticeable distortion. Nonetheless, this could be a quick DIY solution for some imaging needs in a lab (eg. Relay lens for a microscope, a compact projection system etc.)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
